Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7543335 | Mathematics and Computers in Simulation | 2018 | 23 Pages |
Abstract
In this paper, we analyze the threshold RvS of a stochastic SIS epidemic model with partially protective vaccination of efficacy eâ[0,1]. Firstly, we show that there exists a unique global positive solution of the stochastic system. Then RvS>1 is verified to be sufficient for persistence in the mean of the system. Furthermore, three conditions for the disease to die out are given, which improve the previously-known results on extinction of the disease. We also obtain that large noise will exponentially suppress the disease from persisting regardless of the value of the basic reproduction number RvS.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat, Ahmed Alsaedi,