Dynamics of an HBV/HCV infection model with intracellular delay and cell proliferation

被引：38

作者：

Zhang, Fengqin ^{[1
]}

Li, Jianquan ^{[2
]}

Zheng, Chongwu ^{[1
]}

Wang, Lin ^{[1
,3
]}

机构：

[1] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

[2] Air Force Engn Univ, Coll Sci, Xian 710051, Peoples R China

[3] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 42卷

基金：

中国国家自然科学基金;

关键词：

HBV/HCV infection; Intracellular delay; Stability and bifurcation; Chaos; B-VIRUS INFECTION; LOGISTIC HEPATOCYTE GROWTH; STABILITY ANALYSIS; VIRAL DYNAMICS; DIFFERENTIAL-EQUATIONS; DISTRIBUTED DELAYS; GLOBAL PROPERTIES; HIV-1; INFECTION; HBV INFECTION;

D O I：

10.1016/j.cnsns.2016.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new mathematical model of hepatitis B/C virus (HBV/HCV) infection which incorporates the proliferation of healthy hepatocyte cells and the latent period of infected hepatocyte cells is proposed and studied. The dynamics is analyzed via Pontryagin's method and a newly proposed alternative geometric stability switch criterion. Sharp conditions ensuring stability of the infection persistent equilibrium are derived by applying Pontryagin's method. Using the intracellular delay as the bifurcation parameter and applying an alternative geometric stability switch criterion, we show that the HBV/HCV infection model undergoes stability switches. Furthermore, numerical simulations illustrate that the intracellular delay can induce complex dynamics such as persistence bubbles and chaos. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：464 / 476

页数：13

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