Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 40, Issue -, Pages 89-99Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2016.04.023
Keywords
Stochastic SIR epidemic model; Time delay; Nonlinear incidence; Lyapunov functional
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Funding
- NSFC of China [11371085, 11561069]
- Fundamental Research Funds for the Central Universities [15CX08011A]
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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. (C) 2016 Elsevier B.V. All rights reserved.
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