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Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We introduce stochasticity into the SIS model with saturated incidence.
The existence and uniqueness of the positive solution are proved by employing the Lyapunov analysis method.
Then, we carry out a detailed analysis on both its almost sure exponential stability and its pth moment exponential stability, which indicates that the pth moment exponential stability implies the almost sure exponential stability.
Additionally, the results show that the conditions for the disease to become extinct are much weaker than those in the corresponding deterministic model.
The conditions for the persistence in the mean and the existence of a stationary distribution are also established.
Finally, we derive the expressions for the mean and variance of the stationary distribution.
Compared with the corresponding deterministic model, the threshold value for the disease to die out is affected by the half saturation constant.
That is, increasing the saturation effect can reduce the disease transmission.
Computer simulations are presented to illustrate our theoretical results.
American Psychological Association (APA)
Chen, Can& Kang, Yanmei. 2014. Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033962
Modern Language Association (MLA)
Chen, Can& Kang, Yanmei. Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1033962
American Medical Association (AMA)
Chen, Can& Kang, Yanmei. Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033962
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033962