Relevant bibliographies by topics / Basic reproduction ratio

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Basic reproduction ratio'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Basic reproduction ratio"

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

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

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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 (October 1994): 227–47. http://dx.doi.org/10.1016/0025-5564(94)90013-2.

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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, the CTL-activated infection equilibrium is globally asymptotically stable.
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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 (December 1991): 325–39. http://dx.doi.org/10.1016/0025-5564(91)90012-8.

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Auger, Pierre, Ali Moussaoui, and Gauthier Sallet. "Basic Reproduction Ratio for a Fishery Model in a Patchy Environment." Acta Biotheoretica 60, no. 1-2 (March 15, 2012): 167–88. http://dx.doi.org/10.1007/s10441-012-9155-3.

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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 the basic reproduction ratio for CTL immune responseR1≤1, the CTL-inactivated infection equilibrium is globally asymptotically stable. If the basic reproduction ratio for CTL immune responseR1>1, the global stability of the CTL-activated infection equilibrium is also derived when the time delayτ=0. Numerical simulations are carried out to illustrate the main results.
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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 (September 2002): 97–109. http://dx.doi.org/10.1006/tpbi.2002.1598.

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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 (January 23, 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 financing. The hypothesis of existence of the most preferable ratio between the sizes of the first and the second clusters is put forward and proved. For confirmation of the put forward hypothesis the nonlinear economic-mathematical model of criterion of formation of rational structure of financing of process of innovative reproduction of the basic means of the enterprise is developed. As the important parameters nonlinear economic-mathematical model of criterion it is offered to take into account not only size of own and extra financial assets, but also their cost.
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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 theoretical results.
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Dissertations / Theses on the topic "Basic reproduction ratio"

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Evcin, Cansu. "Analysis Of Threshold Dynamics Of Epidemic Models In A Periodic Environment." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615565/index.pdf.

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Threshold dynamics used to control the spread of the disease in infectious disease phenomena has an overwhelming importance and interest in mathematical epidemiology. One of the famous threshold quantity is known to be the basic reproduction ratio. Its formulation as well as computation is the main concern of infectious diseases. The aim of this thesis is to analyze the basic reproduction ratio in both autonomous and periodic systems via defining R0 as the spectral radius of the next generation operator. This thesis presents the vector host model for the diseases Dengue fever and avian influenza. As emerging of the diseases shows periodicity, systems of periodic ordinary differential equations are considered for both types of diseases. Simple implementation of the time-averaged systems gives rise to the comparison of these with the periodic systems. Thus, we investigate the occurence of the existence of underestimation or overestimation of the basic reproduction ratio in timeaveraged systems.
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Montazeri, Shahtori Narges. "Quantifying the impact of contact tracing on ebola spreading." Thesis, Kansas State University, 2016. http://hdl.handle.net/2097/34540.

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Master of Science
Department of Electrical and Computer Engineering
Faryad Darabi Sahneh
Recent experience of Ebola outbreak of 2014 highlighted the importance of immediate response to impede Ebola transmission at its very early stage. To this aim, efficient and effective allocation of limited resources is crucial. Among standard interventions is the practice of following up with physical contacts of individuals diagnosed with Ebola virus disease -- known as contact tracing. In an effort to objectively understand the effect of possible contact tracing protocols, we explicitly develop a model of Ebola transmission incorporating contact tracing. Our modeling framework has several features to suit early–stage Ebola transmission: 1) the network model is patient–centric because when number of infected cases are small only the myopic networks of infected individuals matter and the rest of possible social contacts are irrelevant, 2) the Ebola disease model is individual–based and stochastic because at the early stages of spread, random fluctuations are significant and must be captured appropriately, 3) the contact tracing model is parameterizable to analyze the impact of critical aspects of contact tracing protocols. Notably, we propose an activity driven network approach to contact tracing, and develop a Monte-Carlo method to compute the basic reproductive number of the disease spread in different scenarios. Exhaustive simulation experiments suggest that while contact tracing is important in stopping the Ebola spread, it does not need to be done too urgently. This result is due to rather long incubation period of Ebola disease infection. However, immediate hospitalization of infected cases is crucial and requires the most attention and resource allocation. Moreover, to investigate the impact of mitigation strategies in the 2014 Ebola outbreak, we consider reported data in Guinea, one the three West Africa countries that had experienced the Ebola virus disease outbreak. We formulate a multivariate sequential Monte Carlo filter that utilizes mechanistic models for Ebola virus propagation to simultaneously estimate the disease progression states and the model parameters according to reported incidence data streams. This method has the advantage of performing the inference online as the new data becomes available and estimating the evolution of the basic reproductive ratio R₀(t) throughout the Ebola outbreak. Our analysis identifies a peak in the basic reproductive ratio close to the time of Ebola cases reports in Europe and the USA.
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Books on the topic "Basic reproduction ratio"

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Jones, Menna, Chris Dickman, and Mike Archer. Predators with Pouches. CSIRO Publishing, 2003. http://dx.doi.org/10.1071/9780643069862.

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Predators with Pouches provides a unique synthesis of current knowledge of the world’s carnivorous marsupials—from Patagonia to New Guinea and North America to Tasmania. Written by 63 experts in each field, the book covers a comprehensive range of disciplines including evolution and systematics, reproductive biology, physiology, ecology, behaviour and conservation. Predators with Pouches reveals the relationships between the American didelphids and the Australian dasyurids, and explores the role of the marsupial fauna in the mammal community. It introduces the geologically oldest marsupials, from the Americas, and examines the fall from former diversity of the larger marsupial carnivores and their convergent evolution with placental forms. The book covers all aspects of carnivorous marsupials, including interesting features of life history, their unique reproduction, the physiological basis for early senescence in semelparous dasyurids, sex ratio variation and juvenile dispersal. It looks at gradients in nutrition—from omnivory to insectivory to carnivory—as well as distributional ecology, social structure and conservation dilemmas.
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Book chapters on the topic "Basic reproduction ratio"

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Zhao, Xiao-Qiang. "The Theory of Basic Reproduction Ratios." In CMS Books in Mathematics, 285–315. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56433-3_11.

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Diekmann, Odo, Hans Heesterbeek, and Tom Britton. "The basic reproduction number." In Mathematical Tools for Understanding Infectious Disease Dynamics. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691155395.003.0007.

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The basic reproduction number (or ratio) R₀ is arguably the most important quantity in infectious disease epidemiology. It is among the quantities most urgently estimated for infectious diseases in outbreak situations, and its value provides insight when designing control interventions for established infections. From a theoretical point of view R₀ plays a vital role in the analysis of, and consequent insight from, infectious disease models. There is hardly a paper on dynamic epidemiological models in the literature where R₀ does not play a role. R₀ is defined as the average number of new cases of an infection caused by one typical infected individual, in a population consisting of susceptibles only. This chapter shows how R₀ can be characterized mathematically and provides detailed examples of its calculation in terms of parameters of epidemiological models, culminating in a set of algorithms (or “recipes”) for the calculation for compartmental epidemic systems.
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"Paddlefish Management, Propagation, and Conservation in the 21st Century." In Paddlefish Management, Propagation, and Conservation in the 21st Century, edited by PATRICK J. BRAATEN, DAVID B. FULLER, and RYAN D. LOTT. American Fisheries Society, 2009. http://dx.doi.org/10.47886/9781934874127.ch7.

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<em>Abstract</em>.—A reproducing population of paddlefish <em>Polyodon spathula </em>in the upper Missouri River basin of Montana and North Dakota has spawning access to the free-flowing Yellowstone River, the thermally and hydrologically impacted Missouri River below Fort Peck Dam, and the Milk River (a tributary to the Missouri River below Fort Peck Dam). In this study, we quantified paddlefish spawning migrations into these potential spawning areas based on 4 years (2002–2005) of telemetry information and quantified spawning success based on collections of larvae over a 5-year period (2001– 2005). The initiation of spawning migrations into the Yellowstone River and Missouri River was consistent among years (early to mid-April) and typically occurred following slight increases (3.8–18.1%) in discharge. Each year, about one-third and two-thirds of the radio-implanted population of paddlefish migrated into the Missouri River and Yellowstone River, respectively. Spawning migrations into the Milk River primarily occurred only following substantial increases (>200%) in discharge. Larval paddlefish were collected annually in all rivers except the Milk River in 2003 when discharges were low and paddlefish did not migrate into the river. Spawning was initiated earliest in the Yellowstone River, and there was strong evidence that spawning in the Yellowstone River and Milk River was initiated by a discharge pulse. Results from this study provide an understanding of the reproductive dynamics of paddlefish and the environmental factors associated with paddlefish reproduction in the upper Missouri River basin.
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Conference papers on the topic "Basic reproduction ratio"

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WYSE, ANA PAULA P., LUIZ BEVILACQUA, and MARAT RAFIKOV. "THE BASIC REPRODUCTION RATIO FOR A MALARIA MODEL." In Proceedings of the International Symposium on Mathematical and Computational Biology. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773685_0014.

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Soewono, E., and D. Aldila. "A survey of basic reproductive ratios in vector-borne disease transmission modeling." In SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH 2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4914426.

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Riad, Mahbubul H., Caterina M. Scoglio, D. Scott McVey, and Lee W. Cohnstaedt. "Estimation of parameters and basic reproductive ratio for Japanese encephalitis transmission in the Philippines using a sequential Monte Carlo filter." In 2017 IEEE Conference on Control Technology and Applications (CCTA). IEEE, 2017. http://dx.doi.org/10.1109/ccta.2017.8062539.

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Tamtomo, Didik Gunawan, and Vitri Widyaningsih. "Determinants of Fertility in Indonesia: An Analysis from Basic Life Survey Data Year 2017." In The 7th International Conference on Public Health 2020. Masters Program in Public Health, Universitas Sebelas Maret, 2020. http://dx.doi.org/10.26911/the7thicph.03.99.

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ABSTRACT Background: Indonesia is in the fourth position with the largest population in the world (274 million people) after China, India, and the United States. Currently, Indonesia is experiencing a demographic bonus and also has a high dependency ratio (46.6%). It resulting in heavy burdens that must be borne by the productive age population to finance the lives of the unproductive population. The high population in Indonesia is determined by the high number of children born alive. The purpose of this study was to examine the determinants of fertility in Indonesia. Subjects and Method: A cross-sectional study was conducted using Indonesian Population Demographic Survey year 2017. A sample of 49,627 reproductive women aged 15-49 years who had ever give birth was selected for this study. The dependent variable was fertility (based on number of children born alive). The independent variables were contaceptive use, contraceptive method, source of information, knnowledge toward contraception, history of birth delivery, and residence. The data were analyzed by path analysis run on Stata 13. Results: Fertility increased with traditional contraceptive use (b= 0.51; 95% CI= 0.41 to 0.61; p<0.001), information from government (b= 0.59; 95% CI= 0.46 to 0.72; p <0.001), low education toward contraceptive (b= 0.89; 95% CI= 0.49 to 1.29; p <0.001), birth delivery <1 year (b= 0.10; 95% CI= -0.05 to 0.25; p= 0.187), health assurance participant (b= 0.54; 95% CI= 0.44 to 0.64; p<0.001), living in urban area (b= 0.32; 95% CI= 0.22 to 0.41; p<0.001), hormonal contraceptive use (b= 0.08; 95% CI= -0.10 to 0.25; p= 0.408), and living in west Indonesian (b= 0.57; 95% CI= 0.47 to 0.66; p<0.001). Fertility decreased with family decision on contraceptive use (b= -0.31; 95% CI= -0.42 to -0.21; p<0.001), education ≥Senior high school (b= -1.25; 95% CI= -1.35 to -1.16; p<0.001), and high family wealth (b= -0.50; 95% CI= -0.60 to -0.40; p<0.001). Conclusion: Fertility increases with traditional contraceptive use, information from government, low education toward contraceptive, birth delivery <1 year, health assurance participant, living in urban area, hormonal contraceptive use, and living in west Indonesian. Fertility decreases with family decision on contraceptive use, education ≥Senior high school, and high family wealth. Keywords: fertility, basic health survey year 2017 Correspondence: Karlinda. Masters Program in Public Health, Universitas Sebelas Maret. Jl. Ir. Sutami 36A, Surakarta 57126, Central Java, Indonesia. Email: karlindalinda8@gmail.com. Mobile: +6282278924093. DOI: https://doi.org/10.26911/the7thicph.03.99
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