Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence

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

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 40: 89-99.

DOI：10.1016/j.cnsns.2016.04.023

• Stochastic SIR epidemic model
• Time delay
• Nonlinear incidence
• Lyapunov functional

In this paper, we consider a stochastic delayed SIR epidemic model with nonlinear incidence. We firstly show that the system has a unique global positive solution with any positive initial value, then by constructing some suitable Lyapunov functionals, we investigate the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.

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