Article ID Journal Published Year Pages File Type
758073 Communications in Nonlinear Science and Numerical Simulation 2016 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
, , , , ,