Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence.
Tian, Xiaohong, Xu, Rui (2009)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Asymptotic properties of a hepatitis B virus infection model with time delay.”
Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence.
Analysis of a delayed SIR model with nonlinear incidence rate.
Zhang, Jin-Zhu, Jin, Zhen, Liu, Quan-Xing, Zhang, Zhi-Yu (2008)
Discrete Dynamics in Nature and Society
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Modeling schistosomiasis and HIV/AIDS codynamics.
Mushayabasa, S., Bhunu, C.P. (2011)
Computational & Mathematical Methods in Medicine
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Persistence of an SEIR model with immigration dependent on the prevalence of infection.
Wang, Wenjuan, Xin, Jingqi, Zhang, Fengqin (2010)
Discrete Dynamics in Nature and Society
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Analysis of a simple vector-host epidemic model with direct transmission.
Cai, Liming, Li, Xuezhi (2010)
Discrete Dynamics in Nature and Society
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On oscillatory pattern of malaria dynamics in a population with temporary immunity.
Tumwiine, J., Mugisha, J.Y.T., Luboobi, L.S. (2007)
Computational & Mathematical Methods in Medicine
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Stability of a two-strain tuberculosis model with general contact rate.
Huo, Hai-Feng, Dang, Shuai-Jun, Li, Yu-Ning (2010)
Abstract and Applied Analysis
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Global dynamics of a HIV transmission model.
Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
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On the stability property of the infection-free equilibrium of a viral infection model.
Chen, Xiaoying, Chen, Fengde, Su, Qianqian, Zhang, Na (2010)
Discrete Dynamics in Nature and Society
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A differential equation model of HIV infection of CD4 T-cells with delay.
Yang, Junyuan, Wang, Xiaoyan, Zhang, Fengqin (2008)
Discrete Dynamics in Nature and Society
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Modelling the hepatitis C with different types of virus genome.
Moneim, I.A., Mosa, G.A. (2006)
Computational & Mathematical Methods in Medicine
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On the dynamics of a vaccination model with multiple transmission ways
Shu Liao, Weiming Yang (2013)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number...
An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective
H. R. Thieme, A. Tridane, Y. Kuang (2008)
Mathematical Modelling of Natural Phenomena
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A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated...
Immunological barrier for infectious diseases
I. Barradas (1997)
Applicationes Mathematicae
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A nonlinear mathematical model with distributed delay is proposed to describe the reaction of a human organism to a pathogen agent. The stability of the disease free state is analyzed, showing that there exists a large set of initial conditions in the attraction basin of the disease-free state whose border is defined as the immunological barrier.