Stability analysis of a viral infection dynamics model with infection age of cells and general saturated infection rate

Journal of Hebei University of Science and Technology

Liangchen LI¹  Rui XU¹ 

[1] Basic Courses Department, Ordnance Engineering College, Shijiazhuang,Hebei 050003, China;

关键词: stability theory;    infection age of cells;    saturation infection rate;    Lyapunov functional;    LaSalle’s invariance principle;   

DOI  :  10.7535/hbkd.2016yx04006

来源: DOAJ

【 摘 要 】

In order to understand the viral dynamics processes inclucding infection, duplicate, eliminate, etc. in human body, a viral infection model with infection age of cells and general saturated infection rate is investigated. It is proved that the model has a unique infected steady state when the basic reproduction ratio is greater than one unity. By analyzing the characteristic of relevant equations, the local stability of effective steady state is dislussed. By using suitable Lyapunov functional and LaSalle’s invariance principle, it is proved that when the basic reproduction ratio is less than one unity, the infection-free steady state is globally asymptotically stable; and when the basic reproduction ratio is greater than one unity, the infected steady state is globally asymptotically stable.

【 授权许可】

Unknown