Global dynamics of a HIV transmission model.
Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
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Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
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Huo, Hai-Feng, Dang, Shuai-Jun, Li, Yu-Ning (2010)
Abstract and Applied Analysis
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Corbett, B.D., Moghadas, S.M., Gumel, A.B. (2003)
International Journal of Mathematics and Mathematical Sciences
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F. Gazori, M. Hesaaraki (2015)
Applicationes Mathematicae
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In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out....
Barbosu, Michael, Oproiu, Tiberiu (2004)
General Mathematics
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Khan, Q.J.A., Bhatt, B.S. (1996)
International Journal of Mathematics and Mathematical Sciences
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Nuraini, N., Soewono, E., Sidarto, K.A. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Kateryna Fedoryshyna, Alexander Rezounenko (2021)
Mathematica Bohemica
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A virus dynamics model with two state-dependent delays and logistic growth term is investigated. A general class of nonlinear incidence rates is considered. The model describes the in-host interplay between viral infection and CTL (cytotoxic T lymphocytes) and antibody immune responses. The wellposedness of the model proposed and Lyapunov stability properties of interior infection equilibria which describe the cases of a chronic disease are studied. We choose a space of merely continuous...
Moneim, I.A., Mosa, G.A. (2006)
Computational & Mathematical Methods in Medicine
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Cai, Liming, Li, Xuezhi (2010)
Discrete Dynamics in Nature and Society
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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...
Tian, Xiaohong, Xu, Rui (2009)
Discrete Dynamics in Nature and Society
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