Global properties within-host model for an age-structured with Crowley-Martin functional response  

作　　者：Shaoli Wang Xinyu Song 

机构地区：[1]School of Mathematics and Statistics, Henan University Kaifeng 475001, Henan, P. R. China [2]College of Mathematics and Information Science Xinyang Normal University, Xinyang 464000 Henan, P. R. China

出　　处：《International Journal of Biomathematics》2017年第2期249-263,共15页生物数学学报（英文版）

摘　　要：Based on a multi-scale view, in this paper, we study an age-structured within-host model with Crowley-Martin functional response for the control of viral infections. By means of semigroup and Lyapunov function, the global asymptotieal property of infected steady state of the model is obtained. The results show that when the basic reproductive number falls below unity, the infection dies out. However, when the basic reproductive number exceeds unity, there exists a unique positive equilibrium which is globally asymptotically stable. This model can be deduced to different viral models with or without time delay.

关 键 词：Within-host virus model AGE-STRUCTURE global asymptotical stable Lyapunovfunction. 

分 类 号：G[文化科学]