GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE  

作　　者：Zhaohui Yuan Peipei Shang Lingling Liu 

机构地区：[1]College of Math.and Econometrics,Hunan University

出　　处：《Annals of Differential Equations》2014年第1期85-96,共12页微分方程年刊（英文版）

基　　金：supported by Scientific Research Fund of Hunan Provincial Education Department(13K012);National Natural Science Foundation of China(61102035)

摘　　要：Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals. We show that if the basic reproduction number is less than one, then both strains die out; but when the number is greater than one, at least one of the strains become endemic depending on the parameter values. The theoretical results provide some useful information on the dynamics of the two strains virus.Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals. We show that if the basic reproduction number is less than one, then both strains die out; but when the number is greater than one, at least one of the strains become endemic depending on the parameter values. The theoretical results provide some useful information on the dynamics of the two strains virus.

关 键 词：virus dynamics immune selection DELAY stability 

分 类 号：O175[理学—数学]