Dynamic behavior of a stochastic SIRS model with two viruses-Reference-Cited by-同舟云学术

Dynamic behavior of a stochastic SIRS model with two viruses

Published:2020-11-10 Issue:7-8 Volume:22 Page:809-825
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Zhao Jiandong¹^ORCID,Zhang Tonghua²,Han Zhixia¹

Affiliation:

1. School of Mathematics and Statistics Science , Ludong University , Yantai , Shandong 264025 , P.R.China

2. Department of Mathematics , Swinburne University of Technology , Melbourne , Victoria 3122 , Australia

Abstract

Abstract To study the effect of environmental noise on the spread of the disease, a stochastic Susceptible, Infective, Removed and Susceptible (SIRS) model with two viruses is introduced in this paper. Sufficient conditions for global existence of positive solution and stochastically asymptotic stability of disease-free equilibrium in the model are given. Then, it is shown that the positive solution is stochastically ultimately bounded and the moment average in time of the positive solution is bounded. Our results mean that the environmental noise suppresses the growth rate of the individuals and drives the disease to extinction under certain conditions. Finally, numerical simulations are given to illustrate our main results.

Funder

Department of Education and Training

Ludong University

National Statistics Bureau of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0208/pdf

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