Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence

作者：Liu, Qun; Jiang, Daqing^*; Shi, Ningzhong; Hayat, Tasawar; Alsaedi, Ahmed

来源：Physica A: Statistical Mechanics and Its Applications , 2016, 462: 870-882.

DOI：10.1016/j.physa.2016.06.095

• Stochastic SEIR epidemic model
• Time delays
• Nonlinear incidence
• Lyapunov function

This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

• 出版日期2016-11-15
• 单位东北师范大学; 中国石油大学（华东）; 广西大学; 玉林师范学院