Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate
Joint Authors
Wang, Weiming
Wang, Xixi
Cai, Yongli
Zhao, Min
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate the complex dynamics of an epidemic model with nonlinear incidence rate of saturated mass action which depends on the ratio of the number of infectious individuals to that of susceptible individuals.
We first deal with the boundedness, dissipation, persistence, and the stability of the disease-free and endemic points of the deterministic model.
And then we prove the existence and uniqueness of the global positive solutions, stochastic boundedness, and permanence for the stochastic epidemic model.
Furthermore, we perform some numerical examples to validate the analytical findings.
Needless to say, both deterministic and stochastic epidemic models have their important roles.
American Psychological Association (APA)
Cai, Yongli& Wang, Xixi& Wang, Weiming& Zhao, Min. 2013. Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-451672
Modern Language Association (MLA)
Cai, Yongli…[et al.]. Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-451672
American Medical Association (AMA)
Cai, Yongli& Wang, Xixi& Wang, Weiming& Zhao, Min. Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-451672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451672