Survival and Stationary Distribution in a Stochastic SIS Model
Joint Authors
Weiguo, Zhang
Zhou, Yanli
Yuan, Sanling
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dynamics of a stochastic SIS epidemic model is investigated.
First, we show that the system admits a unique positive global solution starting from the positive initial value.
Then, the long-term asymptotic behavior of the model is studied: when R0≤1, we show how the solution spirals around the disease-free equilibrium of deterministic system under some conditions; when R0>1, we show that the stochastic model has a stationary distribution under certain parametric restrictions.
In particular, we show that random effects may lead the disease to extinction in scenarios where the deterministic model predicts persistence.
Finally, numerical simulations are carried out to illustrate the theoretical results.
American Psychological Association (APA)
Zhou, Yanli& Weiguo, Zhang& Yuan, Sanling. 2013. Survival and Stationary Distribution in a Stochastic SIS Model. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483464
Modern Language Association (MLA)
Zhou, Yanli…[et al.]. Survival and Stationary Distribution in a Stochastic SIS Model. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-483464
American Medical Association (AMA)
Zhou, Yanli& Weiguo, Zhang& Yuan, Sanling. Survival and Stationary Distribution in a Stochastic SIS Model. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-483464
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483464