文章基本信息

标题：Global stability of discrete virus dynamics models with humoural immunity and latency
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作者：A. M. Elaiw ; M. A. Alshaikh
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2019
卷号：13
期号：1
页码：639-674
DOI：10.1080/17513758.2019.1683630
出版社：Taylor & Francis
摘要：This paper studies the global stability of discrete-time viral infection models with humoural immunity. We consider both latently and actively infected cells. We study also a model with general production and clearance rates of all compartments as well as general incidence rate of infection. We use nonstandard finite difference method to discretize the continuous-time models. The positivity and boundedness of solutions of the discrete models are established. We establish by using Lyapunov method, the global stability of equilibria in terms of the basic reproduction number [Formula: see text] and the humoural immune response activation number [Formula: see text]. The results signify that the infection dies out if [Formula: see text]. Moreover, the infection persists with inactive immune response if [Formula: see text] and with active immune response if [Formula: see text]. We illustrate our theoretical results by using numerical simulations.
关键词：Viral infection ; humoural immune response ; latency ; global stability ; discrete-time models ; Lyapunov function