The asymptotic behavior of a stochastic multigroup SIS model  

作　　者：Chunyan Ji Daqing Jiang 

机构地区：[1]School of Mathematics and Statistics, Changshu Institute of Technology Changshu 215500, Jiangsu, P. R. China [2]School of Mathematics and Statistics, Northeast Normal University Changchun 130024, Jilin, P. R. China [3]College of Science, China University of Petroleum (East China) Qingdao 266580, P. R. China [4]Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group King Abdulaziz University, Jeddah, Saudi Arabia

出　　处：《International Journal of Biomathematics》2018年第3期115-130,共16页生物数学学报（英文版）

基　　金：The authors are grateflfl to tile anonymous referees for carefully reading the manuscript and for important snggestions and comments, which led to the improvement of their manuscript. This research is supported by NSFC grant 11601043, China Postdoctoral Science Foundation （Grant No. 2016M590243）, Jiangsu Province ＂333 High-Level Personnel Training Project＂ （Grant No. BRA2017468） and Qing Lan Project of Jiangsu Province of 2016 and 2017.

摘　　要：In this paper, we explore the long time behavior of a multigroup Susceptible-Infected Susceptible （SIS） model with stochastic perturbations. The conditions for the disease to die out are obtained. Besides, we also show that the disease is fluctuating around the endemic equilibrium under some conditions. Moreover, there is a stationary distribution under stronger conditions. At last, some numerical simulations are applied to support our theoretical results.

关 键 词：A multigroup Susceptible-Infected-Susceptible （SIS） model disease free equilibrium endemic equilibrium exponential stability prevail stationary distribution. 

分 类 号：O175.2[理学—数学] TU311.3[理学—基础数学]