Persistence in a Stochastic SEIR Model with Constant Immigration in Incubation Period

作     者：徐敏 胡良剑 

作者机构：School of Statistics and InformationShanghai University of International Business and Economics College of ScienceDonghua University 

出 版 物：《Journal of Donghua University(English Edition)》 (东华大学学报（英文版）)

年 卷 期：2016年第33卷第4期

页      面：649-651页

学科分类：01[哲学] 083002[工学-环境工程] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0101[哲学-哲学] 010104[哲学-逻辑学] 08[工学] 0817[工学-化学工程与技术] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0811[工学-控制科学与工程] 

基　　金：Humanities and Social Science Research Planning Fund of the Education Ministry of China(No.15YJCZH2010) the Research Innovation Program of Shanghai Municipal Education Commission,China(No.14YZ134) Shanghai 085 Project for Municipal Universities,China 

主　　题：incubation period constant immigration SEIR model basic reproduction number endemic disease equilibrium persistence 

摘      要：A kind of stochastic susceptible-exposed but not infectiousinfectious-removed (SEIR) model with constant immigration in incubation period is presented, based on a deterministic SEIR model, via the technique of parameter perturbation which is standard in stochastic population modeling. The influence of the environmental noise as a standard Gaussian white noise on the epidemics transmission is studied. Furthermore,the condition for the epidemics persistence is obtained by formulating the corresponding function and using It  s formula. And the asymptotic behavior of the model near the endemic disease equilibrium is also studied. In this way, the decision support is provided in the application of this kind of stochastic SEIR model on the epidemics prevention and control.