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This version is not peer-reviewed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.
Keywords
extinction; permanence in mean; stability; stochastic epidemic model
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment