A NOTE ON A STOCHASTIC PERTURBED DI SIR EPIDEMIC MODEL

TitleA NOTE ON A STOCHASTIC PERTURBED DI SIR EPIDEMIC MODEL
Publication TypeJournal Article
Year of Publication2011
AuthorsYANG QINGSHAN, JI CHUNYAN, JIANG DAQING, O’REGAN DONAL, AGARWAL RAVIP
JournalDynamic Systems and Applications
Volume20
Start Page183
Pagination10
Date Published2011
ISSN1056-2176
AMS Subject ClassificationItˆo’s formula, Stochastic DI SIR epidemic model, Stochastic Lyapunov function
Abstract

In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.
PDFhttps://acadsol.eu/dsa/articles/20/13-DSA-31-02.pdf
Refereed DesignationRefereed