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

Zhang Fengqin Li Jianquan Zheng Chongwu Wang Lin · 2017

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期刊名称：

Communications in Nonlinear Science and Numerical Simulation 2017 年 42 卷

发表日期：

2017.01.01

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.