Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

详细信息    查看全文

• 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 SIRS epidemic model ; Stationary distribution ; Extinction ; Nonlinear incidence
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：510-517
• 全文大小：396 K
• 卷排序：469

文摘

A stochastic SIRS epidemic model with standard incidence is proposed and studied. Establish sufficient conditions for the existence of ergodic stationary distribution. We also establish sufficient conditions for extinction of the disease.