具有非单调发生率的时滞随机传染病模型分析

Abstract

Abstract: Epidemic models are often subject to random perturbations. This article proposes a stochastic delayed epidemic model with a non-monotonic incidence rate. By the Lyapunov method and Itô's formula, the existence of a unique global positive solution of the model and the stability of the disease-free equilibrium of the model are proved. The asymptotic behavior around the endemic equilibrium of the associated definite model is obtained. Finally, numerical simulations are presented to illustrate the results.

Key words: Stochastic epidemic model, Stability, Asymptotic behavior, Lyapunov function, Itô's formula

CLC Number:

O175.1

Meng Xiaoying. Analysis of a Stochastic Delayed Epidemic Model with a Non-Monotonic Incidence Rate[J].Acta mathematica scientia,Series A, 2017, 37(6): 1162-1175.

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References

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Analysis of a Stochastic Delayed Epidemic Model with a Non-Monotonic Incidence Rate

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