ArticleJournal of mathematical analysis and applications2012
Global stability for an HIV-1 infection model including an eclipse stage of infected cells.
Article in Journal of mathematical analysis and applications, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Mathematical Modeling and Analysis of the Dynamics of RNA Viruses in Presence of Immunity and Treatment: A Case Study of SARS-CoV-2.Vaccines · 2023Article
- Oncolytic virus therapy benefits from control theory.Royal Society open science · 2020Article
- Control strategy design for the anti-HBV mathematical model.IET systems biology · 2019Article
- The Effects of Time Lag and Cure Rate on the Global Dynamics of HIV-1 Model.BioMed research international · 2017Article
- Global stability of infection-free state and endemic infection state of a modified human immunodeficiency virus infection model.IET systems biology · 2015Article
- Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment.Computational and mathematical methods in medicine · 2015Article
- Modeling the impact on HIV incidence of combination prevention strategies among men who have sex with men in Beijing, China.PloS one · 2014Article
- Dynamics analysis and simulation of a modified HIV infection model with a saturated infection rate.Computational and mathematical methods in medicine · 2014Article
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2 authors.
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Abstract
We consider the mathematical model for the viral dynamics of HIV-1 introduced in Rong et al. (2007) [37]. One main feature of this model is that an eclipse stage for the infected cells is included and cells in this stage may revert to the uninfected class. The viral dynamics is described by four nonlinear ordinary differential equations. In Rong et al. (2007) [37], the stability of the infected equilibrium has been analyzed locally. Here, we perform the global stability analysis using two techniques, the Lyapunov direct method and the geometric approach to stability, based on the higher-order generalization of Bendixson's criterion. We obtain sufficient conditions written in terms of the system parameters. Numerical simulations are also provided to give a more complete representation of the system dynamics.
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