Asymptotic behavior of stochastic multi-group epidemic models with distributed delays

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• 作者：Qun Liu^a ; ^b ; Daqing Jiang^a ; ^c ; ^d ; ^{daqingjiang2010@hotmail.com} ; Ningzhong Shi^a ; Tasawar Hayat^c ; ^e ; Ahmed Alsaedi^c
• 关键词：Stochastic multi-group epidemic model ; Distributed delay ; Disease-free equilibrium ; Endemic equilibrium ; Lyapunov functional
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：467
• 期：Complete
• 页码：527-541
• 全文大小：455 K
• 卷排序：467

文摘

Stochastic multi-group epidemic models with distributed delays are studied. We show that there is a unique global positive solution as desired in any population dynamics. We show that if R0≤1R0≤1, the solution of the stochastic system oscillates around E0E0. We prove that if R0>1R0>1, the solution of the stochastic model fluctuates around E∗E∗.