Long-time behavior of a stochastic epidemic model with varying population size

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• 作者：Fengying Wei^a ; ^b ; ^{weifengying@fzu.edu.cn} ; Jiamin Liu^a ; ^{n140320001@fzu.edu.cn}
• 关键词：60H10 ; 37H10
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：470
• 期：Complete
• 页码：146-153
• 全文大小：592 K
• 卷排序：470

文摘

We formulate an epidemic model with random perturbation and varying population size. This model admits a unique global positive solution by constructing Lyapunov function. Sufficient conditions of extinction and persistence depend on constant contact rate. We carry out several numerical simulations to illustrate the main results.