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Artículos de revistas sobre el tema "Basic reproduction ratio"

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Publicado: 4 de junio de 2021
Última modificación: 25 de julio de 2025

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1

Li, Yunfei, Rui Xu, Zhe Li, and Shuxue Mao. "Global Dynamics of a Delayed HIV-1 Infection Model with CTL Immune Response." Discrete Dynamics in Nature and Society 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/673843.

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A delayed HIV-1 infection model with CTL immune response is investigated. By using suitable Lyapunov functionals, it is proved that the infection-free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infection is less than or equal to unity; if the basic reproduction ratio for CTL immune response is less than or equal to unity and the basic reproduction ratio for viral infection is greater than unity, the CTL-inactivated infection equilibrium is globally asymptotically stable; if the basic reproduction ratio for CTL immune response is greater than unity,
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2

Adler, Frederick R. "The effects of averaging on the basic reproduction ratio." Mathematical Biosciences 111, no. 1 (1992): 89–98. http://dx.doi.org/10.1016/0025-5564(92)90080-g.

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3

Wang, Haibin, and Rui Xu. "Stability and Hopf Bifurcation in an HIV-1 Infection Model with Latently Infected Cells and Delayed Immune Response." Discrete Dynamics in Nature and Society 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/169427.

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An HIV-1 infection model with latently infected cells and delayed immune response is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria is established and the existence of Hopf bifurcations at the CTL-activated infection equilibrium is also studied. By means of suitable Lyapunov functionals and LaSalle’s invariance principle, it is proved that the infection-free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infectionR0≤1; if the basic reproduction ratio for viral infectionR0>1and
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4

Turner, Joanne, Roger G. Bowers, and Matthew Baylis. "Two-Host, Two-Vector Basic Reproduction Ratio (R0) for Bluetongue." PLoS ONE 8, no. 1 (2013): e53128. http://dx.doi.org/10.1371/journal.pone.0053128.

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5

Massad, Eduardo, Francisco Antonio Bezerra Coutinho, Hyan Mo Yang, Heráclito Barbosa De Carvalho, Fábio Mesquita, and Marcelo Nascimento Burattini. "The basic reproduction ratio of HIV among intravenous drug users." Mathematical Biosciences 123, no. 2 (1994): 227–47. http://dx.doi.org/10.1016/0025-5564(94)90013-2.

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6

Auger, Pierre, Ali Moussaoui, and Gauthier Sallet. "Basic Reproduction Ratio for a Fishery Model in a Patchy Environment." Acta Biotheoretica 60, no. 1-2 (2012): 167–88. http://dx.doi.org/10.1007/s10441-012-9155-3.

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7

Diekmann, O., K. Dietz, and J. A. P. Heesterbeek. "The basic reproduction ratio for sexually transmitted diseases: I. theoretical considerations." Mathematical Biosciences 107, no. 2 (1991): 325–39. http://dx.doi.org/10.1016/0025-5564(91)90012-8.

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8

Bessho, Kazuhiro. "Stable demographic ratios of haploid gametophyte to diploid sporophyte abundance in macroalgal populations." PLOS ONE 19, no. 3 (2024): e0295409. http://dx.doi.org/10.1371/journal.pone.0295409.

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Macroalgal populations often consist of free-living haploid (gametophyte) and diploid (sporophyte) stages. Various ecological studies have been conducted to examine the demographic diversity of haploid-diploid populations with regard to the dominant stage. Here, I relaxed the assumption of classical research that the life history parameters of haploids and diploids are identical and developed a generalized haploid-diploid model that explicitly accounts for population density dependence and asexual reproduction. Analysis of this model yielded an exact solution for the abundance ratio of haploid
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9

Abu Hassan, Suzanawati, Yeong Kin Teoh, Diana Sirmayunie Mohd Nasir, and Nur Shamira Sharil. "Simulation of COVID-19 Trend in Selangor via SIR Model of Infectious Disease." Journal of Computing Research and Innovation 7, no. 2 (2022): 294–303. http://dx.doi.org/10.24191/jcrinn.v7i2.322.

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Coronavirus Disease 2019 (COVID-19) was initially reported in December 2019 in Wuhan City, China, as a result of a respiratory pandemic. Since then, the infection has spread rapidly and uncontrollably around the globe, prompting the World Health Organization (WHO) to declare it a pandemic. The study's overall objective is to imitate the COVID-19 infectious trend in Selangor. The SIR model is used to forecast infection and the course of COVID-19 diffusion and estimate the fraction of the population infected. As a result, the Susceptible, Infectious, and Recovered (SIR) model was used to accompl
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10

Zhang, Lei, and Xiao-Qiang Zhao. "Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems." SIAM Journal on Mathematical Analysis 53, no. 6 (2021): 6873–909. http://dx.doi.org/10.1137/20m1366344.

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11

Aldila, Dipo, and Tama Windyhani. "Backward Bifurcation Emerging from a Mathematical Model of African Animal Trypanosomiasis Disease in White Rhino Populations." Journal of Mathematical and Fundamental Sciences 54, no. 1 (2022): 151–89. http://dx.doi.org/10.5614/j.math.fund.sci.2022.54.1.9.

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This paper introduces a mathematical model for African animal trypanosomiasis (AAT) in white rhino and tsetse fly populations. The model accommodates two types of interventions, namely infection detection and ground spraying. The dynamical system properties were thoroughly investigated to show the existence of equilibrium points, backward bifurcation, and how they are related to the basic reproduction number. We found that there is a chance that AAT may die out from the population if the basic reproduction number is smaller than one. However, the possible existence of backward bifurcation impl
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12

Tian, Xiaohong, and Rui Xu. "Global Stability of a Virus Infection Model with Time Delay and Absorption." Discrete Dynamics in Nature and Society 2011 (2011): 1–20. http://dx.doi.org/10.1155/2011/152415.

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In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoret
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13

Tian, Xiaohong, and Rui Xu. "Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay." Discrete Dynamics in Nature and Society 2010 (2010): 1–21. http://dx.doi.org/10.1155/2010/182340.

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A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the model is studied. By using comparison arguments, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproduction ratio is greater than unity, by means of an iteration technique, sufficient conditions are derived for the global asymptotic stability of the virus-infected equilibrium. Numerical simulations are carried
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14

Хлынин, Э., E. Khlynin, А. Борисов, A. Borisov, В. Фатуев, and V. Fatuev. "Definition of Rational Structure of Financing of Process of Innovative Reproduction of the Basic Means of the Enterprise." Scientific Research and Development. Economics 6, no. 6 (2019): 54–58. http://dx.doi.org/10.12737/article_5c1b6b094b3a02.03375703.

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The mechanism of formation of rational structure of financing of process of innovative reproduction of the basic means of the enterprise is developed, allowing to define the most expedient ratio between own and extra sources of financing of process of innovative reproduction of means of work which provides realization of effective financial activity of the enterprise. For this purpose, it is offered to form two clusters financial assets of the enterprise, one of which includes own sources of financing of process of innovative reproduction of the basic means, and another — extra sources of fina
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15

pada Das, Krishna, Prodip Roy, Subhabrata Ghosh, and Somnath Maiti. "External Source of Infection and Nutritional Efficiency Control Chaos in a Predator–Prey Model with Disease in the Predator." Biophysical Reviews and Letters 12, no. 02 (2017): 87–115. http://dx.doi.org/10.1142/s1793048017500059.

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This paper deals with an eco-epidemiological approach with disease circulating through the predator species. Disease circulation in the predator species can be possible by contact as well as by external sources. Here, we try to discuss the role of external source of infection along with nutritional value on system dynamics. To establish our findings, we have worked out the local and global stability analysis of the equilibrium points with Hopf bifurcation analysis associated with interior equilibrium point. The ecological consequence by ecological basic reproduction number as well as the disea
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16

Charles, S., S. Morand, J. L. Chassé, and P. Auger. "Host Patch Selection Induced by Parasitism: Basic Reproduction Ratio R0 and Optimal Virulence." Theoretical Population Biology 62, no. 2 (2002): 97–109. http://dx.doi.org/10.1006/tpbi.2002.1598.

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17

Darmawati, Darmawati, Musafira Musafira, Darma Ekawati, Wahyudin Nur, Muhlis Muhlis, and Siti Fatima Azzahra. "Sensitivity, Optimal Control, and Cost-Effectiveness Analysis of Intervention Strategies of Filariasis." Jambura Journal of Mathematics 4, no. 1 (2022): 64–76. http://dx.doi.org/10.34312/jjom.v4i1.11766.

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In this work, sensitivity, optimal control, and cost-effectiveness of several intervention strategies of filariasis are discussed. We study the intervention strategies that are related to bednet use, insecticide, and the combination of bed-net use and insecticide. We use Pontryagin’s maximum principle to characterize the optimal controls. The Average Cost-Effectiveness Ratio (ACER) and Infection Averted Ratio (IAR) are used to identify the most cost-effective strategy. We also determine the basic reproduction number and investigate the sensitivity of the basic reproduction number on the parame
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18

KLINKENBERG, D., J. DE BREE, H. LAEVENS, and M. C. M. DE JONG. "Within- and between-pen transmission of Classical Swine Fever Virus: a new method to estimate the basic reproduction ratio from transmission experiments." Epidemiology and Infection 128, no. 2 (2002): 293–99. http://dx.doi.org/10.1017/s0950268801006537.

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We present a method to estimate basic reproduction ratio R0 from transmission experiments. By using previously published data of experiments with Classical Swine Fever Virus more extensively, we obtained smaller confidence intervals than the martingale method used in the original papers. Moreover, our method allows simultaneous estimation of a reproduction ratio within pens R0w and a modified reproduction ratio between pens R′0b. Resulting estimates of R0w and R′0b for weaner pigs were 100 (95% CI 54·4–186) and 7·77 (4·68–12·9), respectively. For slaughter pigs they were 15·5 (6·20–38·7) and 3
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19

XU, RUI. "GLOBAL DYNAMICS OF A DELAYED HIV-1 INFECTION MODEL WITH ABSORPTION AND SATURATION INFECTION." International Journal of Biomathematics 05, no. 03 (2012): 1260012. http://dx.doi.org/10.1142/s1793524512600121.

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In this paper, an HIV-1 infection model with absorption, saturation infection and an intracellular delay accounting for the time between viral entry into a target cell and the production of new virus particles is investigated. By analyzing the characteristic equations, the local stability of an infection-free equilibrium and a chronic-infection equilibrium of the model is established. By using suitable Lyapunov functionals and LaSalle's invariance principle, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable; a
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20

WALLINGA, J., D. LÉVY-BRUHL, N. J. GAY, and C. H. WACHMANN. "Estimation of measles reproduction ratios and prospects for elimination of measles by vaccination in some Western European countries." Epidemiology and Infection 127, no. 2 (2001): 281–95. http://dx.doi.org/10.1017/s095026880100601x.

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The objective of this study is to estimate the measles reproduction ratio for eight Western European vaccination programmes. Because many plausible age-structured transmission patterns result in a similar description of the observations, it is not possible to estimate a unique value of the reproduction ratio. A method is developed to estimate bounds and confidence intervals for plausible values of the reproduction ratios using maximum likelihood methods. Lower and upper bounds for plausible values of the basic reproduction ratio are estimated to be 7·17 (95% CI 7·14–7·20) and 45·41 (95% CI 9·7
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21

Yang, Hyun M. "Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector)." Revista de Saúde Pública 34, no. 3 (2000): 223–31. http://dx.doi.org/10.1590/s0034-89102000000300003.

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OBJECTIVE: Describe the overall transmission of malaria through a compartmental model, considering the human host and mosquito vector. METHODS: A mathematical model was developed based on the following parameters: human host immunity, assuming the existence of acquired immunity and immunological memory, which boosts the protective response upon reinfection; mosquito vector, taking into account that the average period of development from egg to adult mosquito and the extrinsic incubation period of parasites (transformation of infected but non-infectious mosquitoes into infectious mosquitoes) ar
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22

Traoré, Bakary, Boureima Sangaré, and Sado Traoré. "A Mathematical Model of Malaria Transmission with Structured Vector Population and Seasonality." Journal of Applied Mathematics 2017 (2017): 1–15. http://dx.doi.org/10.1155/2017/6754097.

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In this paper, we formulate a mathematical model of nonautonomous ordinary differential equations describing the dynamics of malaria transmission with age structure for the vector population. The biting rate of mosquitoes is considered as a positive periodic function which depends on climatic factors. The basic reproduction ratio of the model is obtained and we show that it is the threshold parameter between the extinction and the persistence of the disease. Thus, by applying the theorem of comparison and the theory of uniform persistence, we prove that if the basic reproduction ratio is less
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23

Chen, Wenhao, Guo Lin, and Shuxia Pan. "Propagation dynamics in an SIRS model with general incidence functions." Mathematical Biosciences and Engineering 20, no. 4 (2023): 6751–75. http://dx.doi.org/10.3934/mbe.2023291.

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<abstract><p>This paper studies the initial value problems and traveling wave solutions in an SIRS model with general incidence functions. Linearizing the infected equation at the disease free steady state, we can define a threshold if the corresponding basic reproduction ratio in kinetic system is larger than the unit. When the initial condition for the infected is compactly supported, we prove that the threshold is the spreading speed for three unknown functions. At the same time, this threshold is the minimal wave speed for traveling wave solutions modeling the disease spreading
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24

Gao, Shu-Jing, Yu-Ying He, Yu-Jiang Liu, Guo-Jing Yang, and Xiao-Nong Zhou. "Field transmission intensity of Schistosoma japonicum measured by basic reproduction ratio from modified Barbour’s model." Parasites & Vectors 6, no. 1 (2013): 141. http://dx.doi.org/10.1186/1756-3305-6-141.

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25

Dietz, K., J. A. P. Heesterbeek, and D. W. Tudor. "The basic reproduction ratio for sexually transmitted diseases part 2. Effects of variable HIV infectivity." Mathematical Biosciences 117, no. 1-2 (1993): 35–47. http://dx.doi.org/10.1016/0025-5564(93)90016-4.

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26

Sulaiman, Usman, and Adamu S. Hassan. "Analysis of Sub-Models for the Basic Transmission Dynamics of Zika Virus Infection." International Journal of Development Mathematics (IJDM) 2, no. 2 (2025): 088–122. https://doi.org/10.62054/ijdm/0202.06.

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In this paper, an age-structured model for the transmission dynamics of Zika virus infection that included the effects of vertical transmission in Aedes vectors, and sexual transmission in humans was formulated and analysed. The model was shown to have a unique, positive and bounded solution in a certain uniformly bounded invariant set. The model was validated using the 2016 outbreak data for Colombia using stratified proportionate random sampling to distribute infections according to the age classification in the model. Due to the complex nature of the model, three independent sub-models were
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27

Shen, Yifan, Chuankai Zheng, and Yifan Xia. "Study On the Impact of Sea Lamprey Sex Ratio on Ecosystem Stability Based on The Lotka-Volterra Model." Highlights in Science, Engineering and Technology 108 (August 13, 2024): 107–13. http://dx.doi.org/10.54097/21atme84.

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Sex ratio adjustment has a profound impact on the stability of the sea lamprey and its ecosystem, altering its reproduction and host relationship dynamics. To understand the complex relationship between sex ratio and population dynamics, and to reveal how changes in sex ratio affect reproduction, the present study was carried out to improve the model by establishing the basic Lotka-Volterra predator-prey model and improving the model by combining the characteristics of changes in sex ratio to obtain the results that the sex ratio of the sea lamprey is an important factor influencing the change
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28

HAGE, J. J., Y. H. SCHUKKEN, H. SCHOLS, M. A. MARIS-VELDHUIS, F. A. M. RIJSEWIJK, and C. H. L. KLAASSEN. "Transmission of bovine herpesvirus 1 within and between herds on an island with a BHV1 control programme." Epidemiology and Infection 130, no. 3 (2003): 541–52. http://dx.doi.org/10.1017/s0950268803008379.

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Transmission of bovine herpesvirus 1 (BHV1) within and between herds was studied on the island of Ameland, The Netherlands. There were 50 herds with 3300 head of cattle on the island. Herds were divided into three groups: (1) only containing seronegative cattle, (2) containing seronegative cattle and vaccinated seropositive cattle, and (3) containing only vaccinated cattle. All 23 herds in groups 1 and 2 were monitored. Three major outbreaks of BHV1 infections were observed due to the introduction of infectious cattle. Another major outbreak was most likely induced by reactivation of latent BH
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29

Koeijer, Aline de, Hans Heesterbeek, Bram Schreuder, et al. "Quantifying BSE control by calculating the basic reproduction ratio R 0 for the infection among cattle." Journal of Mathematical Biology 48, no. 1 (2004): 1–22. http://dx.doi.org/10.1007/s00285-003-0206-x.

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30

Puglisi, Lisa B., Giovanni S. P. Malloy, Tyler D. Harvey, Margaret L. Brandeau, and Emily A. Wang. "Estimation of COVID-19 basic reproduction ratio in a large urban jail in the United States." Annals of Epidemiology 53 (January 2021): 103–5. http://dx.doi.org/10.1016/j.annepidem.2020.09.002.

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31

Mahuda, Isnaini, and Rofiroh Rofiroh. "Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS)." JOSTECH Journal of Science and Technology 4, no. 1 (2024): 7–16. http://dx.doi.org/10.15548/jostech.v4i1.8323.

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HIV/AIDS still become a major public health problem that occurs in almost all countries in the world. Until now, no medicine has been found that can treat HIV/AIDS. However, there is therapy or treatment that can be done to slow the spread of the virus, namely antiretroviral (ARV) or called Antiretroviral Therapy (ART). The mathematical modeling carried out in this study uses the SITA type where there are 4 compartments, namely Susceptible (S), Infected (I) Treatment (T), and AIDS (A) in a closed population. The objectives of this research are: 1) to construct a mathematical model for the spre
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32

Sacrifice, Nana-Kyere *., Desmond Titus Banon, After Boateng Francis, and Jonathan Paddy. "Optimal Control Model of Haemorhagic Conjunctivitis Disease." Advances in Computer Sciences 1, no. 2 (2018): 1–7. https://doi.org/10.31021/acs.20181108.

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<strong>Abstract</strong> In this research article, a model for the transmission dynamics of haemorghagic conjunctivitis disease is presented. The tool of dynamical system is employed in investigating the potency of the spreading of the epidemic. The analysis revealed the likelihood of the epidemic to spread when the the basic reproduction number exceeds one. The model is reformulated as optimal control problem to assess the effectiveness of the proposed control strategy. Maximum Principle was employed to derive the necessary conditions for the existence of optimal control. Numerical solution
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33

Kennedy, Karen J., Nathan S. Boyd, Vilis O. Nams, and A. Randall Olson. "The Impacts of Fertilizer and Hexazinone on Sheep Sorrel (Rumex acetosella) Growth Patterns in Lowbush Blueberry Fields." Weed Science 59, no. 3 (2011): 335–40. http://dx.doi.org/10.1614/ws-d-10-00088.1.

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Sheep sorrel is an invasive, creeping perennial weed of lowbush blueberry fields that decreases yields and hinders harvest. Much of the basic phenology of sheep sorrel in blueberry fields is unknown and not documented in peer-reviewed journals. Three levels of fertilizer (0, 20, and 40 kg N ha−1) and two levels of hexazinone (0 and 1.92 kg ai ha−1) were applied to three vegetative-year blueberry fields to determine their effects on root and shoot growth, biomass allocation, and seed production of sheep sorrel plants. Hexazinone efficacy varied widely between sites, but suppressed shoot biomass
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34

Kajiwara, Tsuyoshi, Toru Sasaki, and Yoji Otani. "Global stability of an age-structured infection model in vivo with two compartments and two routes." Mathematical Biosciences and Engineering 19, no. 11 (2022): 11047–70. http://dx.doi.org/10.3934/mbe.2022515.

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&lt;abstract&gt;&lt;p&gt;In this paper, for an infection age model with two routes, virus-to-cell and cell-to-cell, and with two compartments, we show that the basic reproduction ratio $ R_0 $ gives the threshold of the stability. If $ R_0 &amp;gt; 1 $, the interior equilibrium is unique and globally stable, and if $ R_0 \le 1 $, the disease free equilibrium is globally stable. Some stability results are obtained in previous research, but, for example, a complete proof of the global stability of the disease equilibrium was not shown. We give the proof for all the cases, and show that we can us
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35

Okosun, Kazeem Oare, M. Mukamuri, and Daniel Oluwole Makinde. "Global stability analysis and control of leptospirosis." Open Mathematics 14, no. 1 (2016): 567–85. http://dx.doi.org/10.1515/math-2016-0053.

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AbstractThe aim of this paper is to investigate the effectiveness and cost-effectiveness of leptospirosis control measures, preventive vaccination and treatment of infective humans that may curtail the disease transmission. For this, a mathematical model for the transmission dynamics of the disease that includes preventive, vaccination, treatment of infective vectors and humans control measures are considered. Firstly, the constant control parameters’ case is analyzed, also calculate the basic reproduction number and investigate the existence and stability of equilibria. The threshold conditio
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36

Zhou, Xueyong, and Xiangyun Shi. "Stability analysis and backward bifurcation on an SEIQR epidemic model with nonlinear innate immunity." Electronic Research Archive 30, no. 9 (2022): 3481–508. http://dx.doi.org/10.3934/era.2022178.

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&lt;abstract&gt;&lt;p&gt;Infectious diseases have a great impact on the economy and society. Dynamic models of infectious diseases are an effective tool for revealing the laws of disease transmission. Quarantine and nonlinear innate immunity are the crucial factors in the control of infectious diseases. Currently, there no mathematical models that comprehensively study the effect of both innate immunity and quarantine. In this paper, we propose and analyze an SEIQR epidemic model with nonlinear innate immunity. The boundedness and positivity of the solutions are discussed. Employing the next-g
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37

Traoré, Bakary, Moussa Barro, Boureima Sangaré, and Sado Traoré. "A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics." Nonautonomous Dynamical Systems 8, no. 1 (2021): 267–96. http://dx.doi.org/10.1515/msds-2020-0138.

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Abstract In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions. Two thresholds dynamics associated to the model have been derived: the vector reproduction ratio ℛ v and the basic reproduction ratio ℛ0. Through a rigorous analysis via theories and methods of dynamical systems, we prove that the global behavior of the model depends strongly on these two parameters. More precisely, we show that if ℛ
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38

Degallier, Nicolas, Charly Favier, Jean-Philippe Boulanger, and Christophe Menkes. "Imported and autochthonous cases in the dynamics of dengue epidemics in Brazil." Revista de Saúde Pública 43, no. 1 (2009): 1–7. http://dx.doi.org/10.1590/s0034-89102009000100001.

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OBJECTIVE: To estimate the basic reproduction number (R0) of dengue fever including both imported and autochthonous cases. METHODS: The study was conducted based on epidemiological data of the 2003 dengue epidemic in Brasília, Brazil. The basic reproduction number is estimated from the epidemic curve, fitting linearly the increase of initial cases. Aiming at simulating an epidemic with both autochthonous and imported cases, a "susceptible-infectious-resistant" compartmental model was designed, in which the imported cases were considered as an external forcing. The ratio between R0 of imported
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39

LEITE, MARIA BEATRIZ FERREIRA, RODNEY CARLOS BASSANEZI, and HYUN MO YANG. "The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response." IMA Journal of Mathematical Control and Information 17, no. 1 (2000): 15–31. http://dx.doi.org/10.1093/imamci/17.1.15.

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40

Leite, M. "The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response." Mathematical Medicine and Biology 17, no. 1 (2000): 15–31. http://dx.doi.org/10.1093/imammb/17.1.15.

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41

Schwermer, Heinzpeter, Aline De Koeijer, Franz Brülisauer, and Dagmar Heim. "Comparison of the Historic Recycling Risk for BSE in Three European Countries by Calculating the Basic Reproduction Ratio R0." Risk Analysis 27, no. 5 (2007): 1169–78. http://dx.doi.org/10.1111/j.1539-6924.2007.00952.x.

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42

Kretzschmar, Mirjam, Johannes C. Jager, Dick P. Reinking, Gertjan Van Zessen, and Henk Brouwers. "The basic reproduction ratio R0 for a sexually transmitted disease in pair formation model with two types of pairs." Mathematical Biosciences 124, no. 2 (1994): 181–205. http://dx.doi.org/10.1016/0025-5564(94)90042-6.

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43

Jiang, Xin, Ran Zhang, and Zhikun She. "Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay." International Journal of Biomathematics 13, no. 06 (2020): 2050036. http://dx.doi.org/10.1142/s1793524520500369.

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In this paper, we investigate the qualitative behaviors of a predator–prey system with ratio-dependent function. The system accommodates the diffusion effect to model the migration of individuals and the time delay induced by reproduction. We start with some basic properties of the system. Then the sufficient condition independent of time delay and diffusion effect for global asymptotical stability of the boundary equilibrium is obtained by using the comparison principle. Afterwards, based on the LaSalle’s invariance principle and Lyapunov functional, we investigate the global attractiveness o
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44

TRAORÉ, BAKARY, OUSMANE KOUTOU, and BOUREIMA SANGARÉ. "GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTION." Journal of Biological Systems 27, no. 01 (2019): 19–49. http://dx.doi.org/10.1142/s0218339019500025.

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In this paper, we investigate a nonautonomous and an autonomous model of schistosomiasis transmission with a general incidence function. Firstly, we formulate the nonautonomous model by taking into account the effect of climate change on the transmission. Through rigorous analysis via theories and methods of dynamical systems, we show that the nonautonomous model has a globally asymptotically stable disease-free periodic equilibrium when the associated basic reproduction ratio [Formula: see text] is less than unity. Otherwise, the system admits at least one positive periodic solutions if [Form
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45

Andreasen, G. K. "Double Mode Pulsating Stars and Opacity Changes." International Astronomical Union Colloquium 111 (1989): 248. http://dx.doi.org/10.1017/s0252921100011568.

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AbstractThe basic physical properties of double mode Cepheids and double mode δ Scuti stars are still highly controversial. Based on results of very recent opacity calculations a detailed consistent, possible solution of the problem of the nature of double mode variable stars has been developed. Extensive studies have been performed to establish the rules governing the morphology of the period ratio diagrams. An ideal reproduction of the period ratio data for both stellar types are obtained assuming an increase of the Cox-Steward opacity by a factor of about 2.5 in the temperature range from 1
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46

LAEGREID, W. W., and J. E. KEEN. "Estimation of the basic reproduction ratio (R0) for Shiga toxin-producing Escherichia coli O157:H7 (STEC O157) in beef calves." Epidemiology and Infection 132, no. 2 (2004): 291–95. http://dx.doi.org/10.1017/s0950268803001705.

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To understand the dynamics of transmission of Shiga toxin-producing Escherichia coli O157:H7 (STEC O157) in beef calves, serum samples were obtained from calves in a beef cow-calf herd approximately every 6 weeks from birth until weaning for three consecutive years. The presence of specific anti-O157 antibodies in these serum samples was detected using a blocking ELISA assay incorporating an anti-O157 monoclonal antibody. Using seroconversion data, the basic reproduction ratio (R0) was estimated for each of the three years as well as in aggregate using both deterministic and Martingale methods
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47

Astuti, Giovanni, Gianni Bedini, Angelino Carta, Francesco Roma-Marzio, Alberto Trinco, and Lorenzo Peruzzi. "Comparative assessment of reproductive traits across different habitats in the endangered Webb's hyacinth (Bellevalia webbiana Parl.)." Nature Conservation 24 (January 5, 2018): 81–92. https://doi.org/10.3897/natureconservation.24.20650.

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To pursue a proper conservation of narrow endemic species, the knowledge of basic reproductive strategies is crucial to plan adequate conservation activities. One of the most evolutionarily relevant and threatened Italian endemic is the Webb's hyacinth (Bellevalia webbiana Parl.). As the reproductive behaviour of this species and its connection with human impact are currently unknown, the aim of this study was to characterise the reproductive traits of the Webb's hyacinth in contrasting habitats. All the 5 known richest populations across the species range were investigated. Their reproductive
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48

Nåsell, Ingemar. "The quasi-stationary distribution of the closed endemic sis model." Advances in Applied Probability 28, no. 3 (1996): 895–932. http://dx.doi.org/10.2307/1428186.

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The quasi-stationary distribution of the closed stochastic SIS model changes drastically as the basic reproduction ratio R0 passes the deterministic threshold value 1. Approximations are derived that describe these changes. The quasi-stationary distribution is approximated by a geometric distribution (discrete!) for R0 distinctly below 1 and by a normal distribution (continuous!) for R0 distinctly above 1. Uniformity of the approximation with respect to R0 allows one to study the transition between these two extreme distributions. We also study the time to extinction and the invasion and persi
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49

Gashaw, Kassahun Workalemahu, Semu Mitiku Kassa, and Rachid Ouifki. "Climate-dependent malaria disease transmission model and its analysis." International Journal of Biomathematics 12, no. 08 (2019): 1950087. http://dx.doi.org/10.1142/s1793524519500876.

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Malaria infection continues to be a major problem in many parts of the world including Africa. Environmental variables are known to significantly affect the population dynamics and abundance of insects, major catalysts of vector-borne diseases, but the exact extent and consequences of this sensitivity are not yet well established. To assess the impact of the variability in temperature and rainfall on the transmission dynamics of malaria in a population, we propose a model consisting of a system of non-autonomous deterministic equations that incorporate the effect of both temperature and rainfa
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50

Abilov, A. I., G. A. Andreev, and T. P. Usova. "Bioelemental status of sires of Kholmogorskaya breed under different natural and climatic conditions of the Russian Federation." Glavnyj zootehnik (Head of Animal Breeding), no. 9 (August 25, 2023): 49–58. http://dx.doi.org/10.33920/sel-03-2309-05.

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The purpose of the research was to study in a comparative aspect the bioelemental status of sires of Kholmogorskaya breed under different natural and climatic conditions after a long winter period of using. The work was performed at the Federal Research Center for Animal Husbandry named after Academy Member L. K. Ernst, Russian State University of National Economy named after V. I. Vernadsky and on the basis of JSC “Head Center for Reproduction” (Moscow region) and JSC “Arkhangelsk Bull Stud” (Arkhangelsk region). In the experiment the sires of JSC “Arkhangelsk Bull Stud” (n = 6) and JSC “Head
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