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The Dynamical Behaviors in a Stochastic SIS Epidemic Model with Nonlinear Incidence
Joint Authors
Rifhat, Ramziya
Ge, Qing
Teng, Zhidong
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A stochastic SIS-type epidemic model with general nonlinear incidence and disease-induced mortality is investigated.
It is proved that the dynamical behaviors of the model are determined by a certain threshold value R ~ 0 .
That is, when R ~ 0 < 1 and together with an additional condition, the disease is extinct with probability one, and when R ~ 0 > 1 , the disease is permanent in the mean in probability, and when there is not disease-related death, the disease oscillates stochastically about a positive number.
Furthermore, when R ~ 0 > 1 , the model admits positive recurrence and a unique stationary distribution.
Particularly, the effects of the intensities of stochastic perturbation for the dynamical behaviors of the model are discussed in detail, and the dynamical behaviors for the stochastic SIS epidemic model with standard incidence are established.
Finally, the numerical simulations are presented to illustrate the proposed open problems.
American Psychological Association (APA)
Rifhat, Ramziya& Ge, Qing& Teng, Zhidong. 2016. The Dynamical Behaviors in a Stochastic SIS Epidemic Model with Nonlinear Incidence. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1100149
Modern Language Association (MLA)
Rifhat, Ramziya…[et al.]. The Dynamical Behaviors in a Stochastic SIS Epidemic Model with Nonlinear Incidence. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1100149
American Medical Association (AMA)
Rifhat, Ramziya& Ge, Qing& Teng, Zhidong. The Dynamical Behaviors in a Stochastic SIS Epidemic Model with Nonlinear Incidence. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1100149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100149