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Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington–DeAngelis Incidence Rate
Joint Authors
Wang, Feng
Wang, Shan
Peng, Youhua
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A regime-switching SIRS model with Beddington–DeAngelis incidence rate is studied in this paper.
First of all, the property that the model we discuss has a unique positive solution is proved and the invariant set is presented.
Secondly, by constructing appropriate Lyapunov functionals, global stochastic asymptotic stability of the model under certain conditions is proved.
Then, we leave for studying the asymptotic behavior of the model by presenting threshold values and some other conditions for determining disease extinction and persistence.
The results show that stochastic noise can inhibit the disease and the behavior will have different phenomena owing to the role of regime-switching.
Finally, some examples are given and numerical simulations are presented to confirm our conclusions.
American Psychological Association (APA)
Wang, Shan& Peng, Youhua& Wang, Feng. 2020. Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington–DeAngelis Incidence Rate. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197740
Modern Language Association (MLA)
Wang, Shan…[et al.]. Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington–DeAngelis Incidence Rate. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1197740
American Medical Association (AMA)
Wang, Shan& Peng, Youhua& Wang, Feng. Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington–DeAngelis Incidence Rate. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197740
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197740