Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We introduce stochasticity into a multigroup SIR model with nonlinear incidence.
We prove that when the intensity of white noise is small, the solution of stochastic system converges weakly to a singular measure (i.e., a distribution) if ℛ0≤1 and there exists an invariant distribution which is ergodic if ℛ0>1.
This is the same situation as the corresponding deterministic case.
When the intensity of white noise is large, white noise controls this system.
This means that the disease will extinct exponentially regardless of the magnitude of ℛ0.
American Psychological Association (APA)
Lin, Yuguo& Jiang, Daqing. 2013. Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-507953
Modern Language Association (MLA)
Lin, Yuguo& Jiang, Daqing. Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-507953
American Medical Association (AMA)
Lin, Yuguo& Jiang, Daqing. Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-507953
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507953