Working Paper Article Version 1 This version is not peer-reviewed

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

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

How to cite: Xin, L.; Guo, Y.; Zhu, Q. Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals. Preprints 2019, 2019050368 Xin, L.; Guo, Y.; Zhu, Q. Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals. Preprints 2019, 2019050368

Abstract

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.

Subject Areas

extinction; permanence in mean; stability; stochastic epidemic model

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.