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首页> 外文期刊>Discrete and Continuous Dynamical Systems,Series S >STABILITY ANALYSIS OF A GENERAL HIV DYNAMICS MODEL WITH MULTI-STAGES OF INFECTED CELLS AND TWO ROUTES OF INFECTION
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STABILITY ANALYSIS OF A GENERAL HIV DYNAMICS MODEL WITH MULTI-STAGES OF INFECTED CELLS AND TWO ROUTES OF INFECTION

机译：一种常规HIV动力学模型与感染细胞多阶段的稳定性分析及两种感染途径

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摘要

This paper studies an (n+2)-dimensional nonlinear HIV dynamicsmodel that characterizes the interactions of HIV particles, susceptible CD4~+ Tcells and n-stages of infected CD4~+ T cells. Both virus-to-cell and cell-to-cellinfection modes have been incorporated into the model. The incidence ratesof viral and cellular infection as well as the production and death rates of allcompartments are modeled by general nonlinear functions. We have revealedthat the solutions of the system are nonnegative and bounded, which ensuresthe well-posedness of the proposed model. The basic reproduction number R_0 isdetermined which insures the existence of the two equilibria of the model underconsideration. A set of conditions on the general functions has been establishedwhich is sufficient to investigate the global stability of the model’s equilibria.The global asymptotic stability of the two equilibria is proven by utilizingLyapunov function and LaSalle’s invariance principle. We have proven that ifR_0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable,and if R_0 > 1, then the chronic-infection equilibrium is globally asymptoticallystable. The theoretical results are illustrated by numerical simulations of themodel with specific forms of the general functions.
机译：本文研究了（n + 2） - 二维非线性艾滋病毒动力学表征HIV粒子相互作用，易感CD4〜+ T的模型感染CD4〜+ T细胞的细胞和N-阶段。病毒到细胞和细胞到细胞感染模式已被纳入模型中。发病率病毒和细胞感染以及所有的生产和死亡率隔间由一般非线性函数建模。我们透露了系统的解决方案是非负面和有界的，可确保所提出的模型的良好良好。基本的再现号码R_0是确定，它确保了模型下的两个均衡的存在考虑。已经建立了一系列通用功能的条件这足以研究模型均衡的全球稳定性。通过利用证明了两个均衡的全球渐近稳定性Lyapunov函数和Lasalle的不变原则。我们证明了，如果R_0≤1，然后无感染平衡是全球渐近稳定的，如果R_0> 1，那么慢性感染均衡是全局渐近的稳定的。理论结果通过数值模拟来说明具有特定形式的一般功能的模型。

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