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. Preprints2019, 2019050368
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. Preprints2019, 2019050368
APA Style
Xin, L., Guo, Y., & Zhu, Q. (2019). Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals. Preprints. https://doi.org/
Chicago/Turabian Style
Xin, L., Yingxin Guo and Quanxin Zhu. 2019 "Dynamic of Stochastic Epidemic Model Based on the Association Between Susceptible and Recovered Individuals" Preprints. https://doi.org/
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.