Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination
Joint Authors
Teng, Zhi-Dong
Wang, Lei
Li, Zhiming
Tang, Tingting
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-16
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence and vaccination are investigated.
In the models, the disease transmission coefficient and the removal rates are all affected by noise.
Some new basic properties of the models are found.
Applying these properties, we establish a series of new threshold conditions on the stochastically exponential extinction, stochastic persistence, and permanence in the mean of the disease with probability one for the models.
Furthermore, we obtain a sufficient condition on the existence of unique stationary distribution for the model.
Finally, a series of numerical examples are introduced to illustrate our main theoretical results and some conjectures are further proposed.
American Psychological Association (APA)
Wang, Lei& Teng, Zhi-Dong& Tang, Tingting& Li, Zhiming. 2017. Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1142291
Modern Language Association (MLA)
Wang, Lei…[et al.]. Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-20.
https://search.emarefa.net/detail/BIM-1142291
American Medical Association (AMA)
Wang, Lei& Teng, Zhi-Dong& Tang, Tingting& Li, Zhiming. Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1142291
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142291