Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
758073 | Communications in Nonlinear Science and Numerical Simulation | 2016 | 11 Pages |
Abstract
•A stochastic delayed SIR epidemic model with nonlinear incidence is proposed and studied.•We show that the system has a unique global positive solution with any positive initial value.•We consider the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.
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.
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Authors
Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat, Ahmed Alsaedi,