PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS

作     者：Rui Xue Fengying Wei 

作者机构：College of Math. and Computer Science Fuzhou University Fuzhou 350116 Fujian PR China 

出 版 物：《Annals of Applied Mathematics》 (应用数学年刊（英文版）)

年 卷 期：2017年第33卷第1期

页      面：77-89页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11201075) Natural Science Foundation of Fujian Province(Grant No.2016J01015) Scholarship under the Education Department of Fujian Province 

主　　题：double epidemic hypothesis Brownian motion extinction persistence 

摘      要：In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.