Global stability analysis of HIV-1 infection model with three time delays

被引：22
|
作者：
Pitchaimani M. [1 ]
Monica C. [1 ]
机构：
[1] Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai
来源：
Journal of Applied Mathematics and Computing | 2015年 / 48卷 / 1-2期
关键词：
Bifurcation; Delays; Direct Lyapunov method; Global stability; HIV-1; dynamics; Stability analysis;
D O I：
10.1007/s12190-014-0803-4
中图分类号：
学科分类号：
摘要：
Mathematical model for the effect of reverse transcriptase inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed. We begin this model with proving the positivity and boundedness of the solution. We analyze the stability of the viral free steady state and the infected steady state of the system. Also we have carried out bifurcation analysis along with an estimated length of delay to preserve the stability behaviour. By developing a few Lyapunov functionals, we obtain conditions ensuring global stability of steady states. Numerical simulations are carried out to explain the mathematical conclusions. © 2014, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：293 / 319
页数：26
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