The asymptotic behavior of a stochastic multigroup SIS model-Reference-Cited by-同舟云学术

The asymptotic behavior of a stochastic multigroup SIS model

Published:2018-04 Issue:03 Volume:11 Page:1850037
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Ji Chunyan¹²,Jiang Daqing³⁴

Affiliation:

1. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, P. R. China

2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, P. R. China

3. College of Science, China University of Petroleum (East China), Qingdao 266580, P. R. China

4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

In this paper, we explore the long time behavior of a multigroup Susceptible–Infected–Susceptible (SIS) model with stochastic perturbations. The conditions for the disease to die out are obtained. Besides, we also show that the disease is fluctuating around the endemic equilibrium under some conditions. Moreover, there is a stationary distribution under stronger conditions. At last, some numerical simulations are applied to support our theoretical results.

Funder

NSFC of China

China Postdoctoral Science Foundation

the Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524518500377

Reference35 articles.

1. The topological defense in SIS epidemic models