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Global stability of a delayed virus dynamics model with multi-staged infected progression and humoral immunity 被引量:1

Global stability of a delayed virus dynamics model with multi-staged infected progression and humoral immunity
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摘要 In this paper, we propose a nonlinear virus dynamics model that describes the interac- tions of the virus, uninfected target cells, multiple stages of infected cells and B cells and includes multiple discrete delays. We assume that the incidence rate of infection and removal rate of infected cells are given by general nonlinear functions. The model can be seen as a generalization of several humoral immunity viral infection model presented in the literature. We derive two threshold parameters and establish a set of conditions on the general functions which are sufficient to establish the existence and global stability of the three equilibria of the model. We study the globa! asymptotic stability of the equilibria by using Lyapunov method. We perform some numerical simulations for the model with specific forms of the general functions and show that the numerical results are consistent with the theoretical results.
出处 《International Journal of Biomathematics》 2016年第4期193-218,共26页 生物数学学报(英文版)
关键词 Virus dynamics intracellular delay global stability humoral immune res-ponse Lyapunov functional. 动力学模型 感染细胞 全局稳定性 病毒感染 体液免疫 离散时滞 多阶 非线性函数
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  • 1D. S. Callaway and A. S. Perelson, HIV-1 infection and low steady state viral loads, Bull. Math. Biol. 64 (2002) 2964.
  • 2R. V. Culshaw and S. Ruan, A delay-differential equation model of HIV infection of CD4+ T-cells, Math. Biosci. 165 (2000) 27-39.
  • 3N. M. Dixit and A. S. Perelson, Complex patterns of viral load decay under antiretro- viral therapy: Influence of pharmacokinetics and intraellular delay, J. Theor. Biol. 226 (2004) 95-109.
  • 4A. M. Elaiw, Global properties of a class of HIV models, Nonlinear Anal. Real World Appl. 11 (2010) 2253-2263.
  • 5A. M. Elaiw, Global properties of a class of virus infection models with multi-target cells, Nonlinear Dynam. 69 (2012) 423-435.
  • 6A. M. Elaiw, Global dynamics of an HIV infection model with two classes of tar- get cells and distributed delays, Discrete Dynam. Nat. Soc. 2012 (2012) 253703, 13 pp.
  • 7A. 1Vi. Elaiw and M. A. Alghamdi, Global properties of virus dynamics models with multi-target cells and discrete-time delays, Discrete Dynam. Nat. Soc. 2011 (2011) 201274, 19 pp.
  • 8A. M. Elaiw and A. S. Alsheri, Global dynamics of HIV infection of CD4+ T cells and macrophages, Discrete Dynam. Nat. Soc. 2013 (2013) 264759, 8 pp.
  • 9A. M. Elaiw and S. A. Azoz, Global properties of a class of HIV infection models with Beddington-DeAngelis functional response, Math. Models Methods Appl. Sci. 49 (2012) 383-394.
  • 10A. M. Elaiw, I. A. Hassanien and S. A. Azoz, Global stability of HIV infection models with intraeellular delays, J. Korean Math. Soc. 49 (2012) 779-794.

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