DYNAMICS OF AN HIV-1 INFECTION MODEL WITH CELL-MEDIATED IMMUNE RESPONSE AND STOCHASTIC PERTURBATION  

作　　者：CHUNYAN JI DAQING JIANG 

机构地区：[1]School of Mathematics and Statistics Changshu Institute of TechnologyChangshu 215500, Jiangsu, P. R. China [2]School of Mathematics and Statistics Northeast Normal UniversityChangchun 130023, Jilin, P. R. China [3]School of Mathematics and Statistics Northeast Normal UniversityChangchun 130024, Jilin, P. R. China

出　　处：《International Journal of Biomathematics》2012年第5期103-127,共25页生物数学学报（英文版）

基　　金：We would like to thank the editor and referee for their very helpful comments and suggestions. We also thank the National Natural Science Foundation of China （No. 10971021）, the Ministry of Education of China （No. 109051）, the Ph.D. Pro- grams Foundation of Ministry of China （No. 200918） and the Graduate Innovative Research Project of NENU （No. 09SSXTl17） for their financial support.

摘　　要：In this paper, we introduce the stochasticity into an HIV-1 infection model with cytotoxic T lymphocytes （CTLs） immune response via the technique of parameter perturbation. We show that there is a positive solution as desired in any population dynamics. Then we analyze the long time behavior of this model. We obtain a sufficient condition for the stochastic asymptotic stability in the large of the infection-free equilibrium and give the conditions for the solution fluctuating around the two infection equilibria （one without CTLs being activated and the other with）. Finally, we make sinmlations to conform to our analytical results.

关 键 词：HIV-1 infection the infection-free equilibrium the CTL^inactivated infectionequilibrium the interior equilibrium stochastic asymptotic stability in the large. 

分 类 号：O175.2[理学—数学] Q461[理学—基础数学]