Relevant bibliographies by topics / Disease free equilibrium point (DFEP)

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Academic literature on the topic 'Disease free equilibrium point (DFEP)'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Disease free equilibrium point (DFEP)"

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Ud din, Rahim, and Muhammad Shoaib Ari. "Numerical Analysis of Deterministic and Stochastic Model of COVID-19 Co-infection with Influenza." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 6005. https://doi.org/10.29020/nybg.ejpam.v18i2.6005.

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The dynamics of co-infection model of SARS-Cov-2 and influenza is presented in this paper. A detailed analysis is conducted on the possible effects of the influenza vaccination alone as well as the combined effect of both vaccinations on the co-infection dynamics. The two diseases' basic reproduction numbers utilizing the next-generation matrix method.Endemic equilibrium point (EEP), and disease free equilibrium points (DFEP) are calculated for deterministic model. The global stability of the model equilibrium is demonstrated using the Lyapunov function function, and the local stability is dis
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2

Oluwafemi, T. J., N. I. Akinwande, R. O. Olayiwola, A. F. Kuta, and E. Azuaba. "Co-infection Model Formulation to Evaluate the Transmission Dynamics of Malaria and Dengue Fever Virus." Journal of Applied Sciences and Environmental Management 24, no. 7 (2020): 1187–95. http://dx.doi.org/10.4314/jasem.v24i7.10.

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A mathematical model of the co-infection dynamics of malaria and dengue fever condition is formulated. In this work, the Basic reduction number is computed using the next generation method. The diseasefree equilibrium (DFE) point of the model is obtained. The local and global stability of the disease-free equilibrium point of the model is established. The result show that the DFE is locally asymptotically stable if the basic reproduction number is less than one but may not be globally asymptotically stable. 
 Keywords: Malaria; Dengue Fever; Co-infection; Basic reproduction number; Diseas
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3

A., L. M. Murwayi, Onyango T., and Owour B. "Mathematical Analysis of Plant Disease Dispersion Model that Incorporates wind Strength and Insect Vector at Equilibrium." British Journal of Mathematics & Computer Science 22, no. 5 (2017): 1–17. https://doi.org/10.9734/BJMCS/2017/33991.

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Numerous plant diseases caused by pathogens like bacteria, viruses, fungi protozoa and pathogenic nematodes are propagated through media such as water, wind and other intermediary carries called vectors, and are therefore referred to as vector borne plant diseases. Insect vector borne plant diseases are currently a major concern due to abundance of insects in the tropics which impacts negatively on food security, human health and world economies. Elimination or control of which can be achieved through understanding the process of propagation via Mathematical modeling. However existing models a
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Saputra, Handika Lintang, Isnani Darti, and Agus Suryanto. "Analysis of SVEIL Model of Tuberculosis Disease Spread with Imperfect Vaccination." JTAM (Jurnal Teori dan Aplikasi Matematika) 7, no. 1 (2023): 125. http://dx.doi.org/10.31764/jtam.v7i1.11033.

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This study proposes a SVEIL model of tuberculosis disease spread with imperfect vaccination. Susceptible individuals can receive imperfect vaccination, but over the time the vaccine efficacy will decrease. Vaccinated individuals are in vulnerable class since they still have probability to get reinfected. The proposed model includes treatment for both high-risk latent and active TB patients. In fact, after getting appropriate treatment (get recovered) the individuals still have bacteria in their body and it is classified to low-risk laten class. Dynamical behaviour of the model is analyzed to u
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5

Danhausa, A. A., E. E. Daniel, C. J. Shawulu, A. M. Nuhu, and L. Philemon. "Drug-sensitivity and passive immunity mathematical epidemiological model for tuberculosis." Journal of Applied Sciences and Environmental Management 25, no. 9 (2021): 1661–70. http://dx.doi.org/10.4314/jasem.v25i9.18.

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Regardless of many decades of research, the widespread availability of a vaccine and more recently highly visible WHO efforts to promote a unified global control strategy, Tuberculosis remains a leading cause of infectious mortality. In this paper, a Mathematical Model for Tuberculosis Epidemic with Passive Immunity and Drug-Sensitivity is presented. We carried out analytical studies of the model where the population comprises of eight compartments: passively immune infants, susceptible, latently infected with DS-TB. The Disease Free Equilibrium (DFE) and the Endemic Equilibrium (EE) points we
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6

Adiela, Chukwumela, and Iyai Davies. "Effect of Time Delay in the Stability Analysis of Cholera Epidemic-Endemic Disease Model." European Journal of Theoretical and Applied Sciences 2, no. 3 (2024): 281–97. https://doi.org/10.59324/ejtas.2024.2(3).24.

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Cholera as a disease is a kind of acute diarrhea caused by bacteria&nbsp;<em>Vibrio cholerae</em>. A nonlinear delayed mathematical model with environmental factor for the spread of infectious disease cholera is proposed and analyzed. A mathematical model for cholera was improved by adding a time delay that represents the time between the instant at which an individual becomes infected and the instant at which he begins to have symptoms of cholera disease. It is assumed that all susceptible are affected by carrier population density. The model is analyzed by stability theory of differential eq
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7

Flaviana, Priscilla Persulessy, Siantu Paian, and Jaharuddin. "Mathematics Model Development Deployment of Dengue Fever Diseases by Involve Human and Vectors Exposed Components." International Journal of Engineering and Management Research 8, no. 4 (2018): 46–53. https://doi.org/10.31033/ijemr.8.4.5.

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Dengue virus is one of virus that cause deadly disease was dengue fever. This virus was transmitted through bite of Aedes aegypti female mosquitoes that gain virus infected by taking food from infected human blood, then mosquitoes transmited pathogen to susceptible humans. Suppressed the spread and growth of dengue fever was important to avoid and prevent the increase of dengue virus sufferer and casualties. This problem can be solved with studied important factors that affected the spread and equity of disease by sensitivity index. The purpose of this research were to modify mathematical mode
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8

Ezekiel, Imekela D., Samuel A. Iyase, and Timothy A. Anake. "Stability and Hopf Bifurcation Analysis of an Infectious Disease Delay Model." WSEAS TRANSACTIONS ON MATHEMATICS 24 (March 14, 2025): 126–43. https://doi.org/10.37394/23206.2025.24.14.

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This paper investigated the stability of the dynamical behavior of the susceptible (S), infectious (I) and recovered (R) (SIR) disease epidemic model with intracellular time delay that is unable to stabilize the unstable interior non-hyperbolic equilibrium. The study employed characteristics and bifurcation methods for investigating conditions of stability and instability of the SIR disease epidemic model using the dimensionless threshold reproduction value 𝑅0 for the disease-free equilibrium (DFE) point and the endemic equilibrium point. The study confirms that disease-free equilibrium (DFE)
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9

Iqbal, Iqbal, Iqbal M. Batiha, Mohammad S. Hijazi, Issam Bendib, Adel Ouannas, and Nidal Anakira. "Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation." International Journal of Neutrosophic Science 26, no. 1 (2025): 266–82. https://doi.org/10.54216/ijns.260123.

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This paper investigates a fractional-order SEIR model to study the dynamics of infectious diseases, specifically COVID-19, by incorporating memory effects through fractional derivatives. The model’s formulation enhances the understanding of epidemic dynamics by considering disease transmission, recovery, and mortality rates under fractional calculus. Stability analyses are conducted for the disease-free equilibrium (DFE) and the pandemic fixed point (PFP), identifying critical conditions for finite-time stability using Lyapunov functions and fractional derivatives. Numerical simulations valida
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10

El Alami laaroussi, Adil, Mohamed El Hia, Mostafa Rachik, and Rachid Ghazzali. "Analysis of a Multiple Delays Model for Treatment of Cancer with Oncolytic Virotherapy." Computational and Mathematical Methods in Medicine 2019 (September 30, 2019): 1–12. http://dx.doi.org/10.1155/2019/1732815.

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Despite advanced discoveries in cancerology, conventional treatments by surgery, chemotherapy, or radiotherapy remain ineffective in some situations. Oncolytic virotherapy, i.e., the involvement of replicative viruses targeting specific tumor cells, opens new perspectives for better management of this disease. Certain viruses naturally have a preferential tropism for the tumor cells; others are genetically modifiable to present such properties, as the lytic cycle virus, which is a process that represents a vital role in oncolytic virotherapy. In the present paper, we present a mathematical mod
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Book chapters on the topic "Disease free equilibrium point (DFEP)"

1

Regassa Cheneke, Kumama. "Forward Bifurcation and Stability Analysis." In Bifurcation Theory and Applications [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.112600.

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Bifurcation is an indispensable tool to describe the behavior of the system at steady states. Recently, the forward bifurcation showed the existence of both local and global stability of equilibrium points obtained from epidemiological models. It is known that the computing process to show the global stability of endemic equilibrium is tricky. But, in this chapter, we incorporate the principles that support the simplification of computation and give the exact existence of global stability of endemic equilibrium point. The most important issue is the application of forward bifurcation diagram o
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