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

Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
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DOI：
10.1016/j.cnsns.2016.04.023
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发表时间：
2016-11
期刊：
Commun. Nonlinear Sci. Numer. Simul.
影响因子：
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通讯作者：
Qun Liu;D. Jiang;N. Shi;T. Hayat;A. Alsaedi
Qun Liu;D. Jiang;N. Shi;T. Hayat;A. Alsaedi
中科院分区：
其他
文献类型：
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作者：
Qun Liu;D. Jiang;N. Shi;T. Hayat;A. Alsaedi

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本文考虑一类具有非线性传染率的随机时滞SIR传染病模型。首先证明了该系统在任意正初值下存在唯一的全局正解，然后通过构造适当的李雅普诺夫泛函，分别研究了无病平衡点和地方病平衡点的渐近行为.
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.