Year: 2017
Author: Rui Xue, Fengying Wei
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 77–89
Abstract
In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20596
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 77–89
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: double epidemic hypothesis Brownian motion extinction persistence.