Asymptotic behavior of a multigroup SIS epidemic model with stochastic perturbation

Advances in Difference Equations

Yuguo Lin¹  Daqing Jiang¹  Jing Fu²  Qixing Han² 

[1] School of Mathematics and Statistics, Northeast Normal University, Changchun, China;School of Mathematics, Changchun Normal University, Changchun, China

关键词: stochastic SIS model;    extinction;    stationary distribution;    ergodicity;    60H10;    93E15;    34E10;   

DOI  :  10.1186/s13662-015-0406-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce stochasticity into a multigroup SIS model. We present the sufficient condition for the exponential extinction of the disease and prove that the noises significantly raise the threshold of a deterministic system. In the case of persistence, we prove that there exists an invariant distribution which is ergodic.

【 授权许可】

CC BY