Title of article
Nonlinear stochastic analysis for a stochastic SIS epidemic model
Author/Authors
Li ، Fei - Shandong University of Science and Technology , Meng ، Xinzhu - Ministry of Science and Technology, Shandong University of Science and Technology , Cui ، Yujun - Shandong University of Science and Technology
Pages
9
From page
5116
To page
5124
Abstract
This paper considers a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with nonlinear saturated incidence. The threshold conditions for disease extinction and stochastic permanence are obtained by using nonlinear stochastic analysis for Feller’s test and the canonical probability method. Consequently, this improves and extends some previous results obtained by using Lyapunov method. A series of numerical simulations are carried out to illustrate our theoretical findings.
Keywords
Stochastic SIS epidemic model , Feller’s test , stochastic permanence , nonlinear saturated incidence
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476873
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