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A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We investigate the complex dynamics of a SIRS epidemic model incorporating media coverage with random perturbation.
We first deal with the boundedness and the stability of the disease—free and endemic equilibria of the deterministic model.
And for the corresponding stochastic epidemic model, we prove that the endemic equilibrium of the stochastic model is asymptotically stable in the large.
Furthermore, we perform some numerical examples to validate the analytical finding, and find that if the conditions of stochastic stability are not satisfied, the solution for the stochastic model will oscillate strongly around the endemic equilibrium.
American Psychological Association (APA)
Liu, Wenbin. 2013. A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498478
Modern Language Association (MLA)
Liu, Wenbin. A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-498478
American Medical Association (AMA)
Liu, Wenbin. A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498478
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498478