文章基本信息

标题：Stability of discrete-time HIV dynamics models with three categories of infected CD4 + T-cells
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作者：A. M. Elaiw ; M. A. Alshaikh
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-24
DOI：10.1186/s13662-019-2338-3
出版社：Hindawi Publishing Corporation
摘要：This paper studies the global stability of two discrete-time HIV infection models. The models integrate (i) latently infected cells, (ii) long-lived chronically infected cells and (iii) short-lived infected cells. The second model generalizes the first one by assuming that the incidence rate of infection as well as the production and removal rates of the HIV particles and cells are modeled by general nonlinear functions. We discretize the continuous-time models by using a nonstandard finite difference scheme. The positivity and boundedness of solutions are established. The basic reproduction number is derived. By using the Lyapunov method, we prove the global stability of the models. Numerical simulations are presented to illustrate our theoretical results.
关键词：34D20;34D23;37N25;92B05;HIV infection;Latent reservoirs;Global stability;Lyapunov function;discrete time models