The asymptotic behavior of a stochastic multigroup SIS model

作     者：Chunyan Ji Daqing Jiang 

作者机构：School of Mathematics and Statistics Changshu Institute of Technology Changshu 215500 Jiangsu P. R. China School of Mathematics and Statistics Northeast Normal University Changchun 130024 Jilin P. R. China College of Science China University of Petroleum (East China) Qingdao 266580 P. R. China Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group King Abdulaziz University Jeddah Saudi Arabia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2018年第11卷第3期

页      面：115-130页

核心收录：

学科分类：07[理学] 08[工学] 081402[工学-结构工程] 070104[理学-应用数学] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 

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 

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

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.