Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals

Luyao Xin; Yingxin Guo; Quanxin Zhu

Working Paper Article Version 1 This version is not peer-reviewed

Version 1 : Received: 24 May 2019 / Approved: 30 May 2019 / Online: 30 May 2019 (10:53:58 CEST)

In this paper, we propose a new mathematical model based on the association between susceptible and recovered individual, where the association between susceptible and recovered individual is disturbed by white noise. This model is based on demographic changes and is used for long term behavior. We study the stability of equilibria of the deterministic model and prove the conditions for the extinction of diseases. Then, we investigate and obtain the critical condition of the stochastic epidemic model for the extinction and the permanence in mean of the disease with the white noise. To verify our results, we present some numerical simulations for real data related to disease.

extinction; permanence in mean; stability; stochastic epidemic model

Computer Science and Mathematics, Applied Mathematics

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Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals

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