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Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We discuss multigroup SIRS (susceptible, infectious, and recovered) epidemic models with random perturbations.
We carry out a detailed analysis on the asymptotic behavior of the stochastic model; when reproduction number ℛ 0 > 1 , we deduce the globally asymptotic stability of the endemic equilibrium by measuring the difference between the solution and the endemic equilibrium of the deterministic model in time average.
Numerical methods are employed to illustrate the dynamic behavior of the model and simulate the system of equations developed.
The effect of the rate of immunity loss on susceptible and recovered individuals is also analyzed in the deterministic model.
American Psychological Association (APA)
Fan, Xiaoming. 2013. Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013366
Modern Language Association (MLA)
Fan, Xiaoming. Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013366
American Medical Association (AMA)
Fan, Xiaoming. Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013366
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013366