Stochastic Extinction in an SIRS Epidemic Model Incorporating Media Coverage
Joint Authors
Wang, Liyan
Wang, Weiming
Huang, Huilin
Xu, Ancha
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We extend the classical SIRS epidemic model incorporating media coverage from a deterministic framework to a stochastic differential equation (SDE) and focus on how environmental fluctuations of the contact coefficient affect the extinction of the disease.
We give the conditions of existence of unique positive solution and the stochastic extinction of the SDE model and discuss the exponential p-stability and global stability of the SDE model.
One of the most interesting findings is that if the intensity of noise is large, then the disease is prone to extinction, which can provide us with some useful control strategies to regulate disease dynamics.
American Psychological Association (APA)
Wang, Liyan& Huang, Huilin& Xu, Ancha& Wang, Weiming. 2013. Stochastic Extinction in an SIRS Epidemic Model Incorporating Media Coverage. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505867
Modern Language Association (MLA)
Wang, Liyan…[et al.]. Stochastic Extinction in an SIRS Epidemic Model Incorporating Media Coverage. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-505867
American Medical Association (AMA)
Wang, Liyan& Huang, Huilin& Xu, Ancha& Wang, Weiming. Stochastic Extinction in an SIRS Epidemic Model Incorporating Media Coverage. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505867
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505867