Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response

Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response

The purpose of this work is to investigate the dynamic behaviors of the SIRS epidemic model with nonlinear incident rate under regime switching. We establish the existence of a unique positive solution of our system. Furthermore, we obtain the conditions for the extinction of diseases, and we show...

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Main Authors: Amine EL Koufi, Abdelkrim Bennar, Noura Yousfi
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/5898456
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spelling doaj-6d9aad98fd3747dcab3893583f69261c2020-11-25T02:25:24ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/58984565898456Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional ResponseAmine EL Koufi0Abdelkrim Bennar1Noura Yousfi2Laboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoThe purpose of this work is to investigate the dynamic behaviors of the SIRS epidemic model with nonlinear incident rate under regime switching. We establish the existence of a unique positive solution of our system. Furthermore, we obtain the conditions for the extinction of diseases, and we show the existence of the stationary distribution for our stochastic SIRS model under regime switching. Numerical simulations are employed to illustrate our theoretical analysis.http://dx.doi.org/10.1155/2020/5898456
collection DOAJ
language English
format Article
sources DOAJ
author Amine EL Koufi
Abdelkrim Bennar
Noura Yousfi
spellingShingle Amine EL Koufi
Abdelkrim Bennar
Noura Yousfi
Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
Discrete Dynamics in Nature and Society
author_facet Amine EL Koufi
Abdelkrim Bennar
Noura Yousfi
author_sort Amine EL Koufi
title Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
title_short Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
title_full Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
title_fullStr Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
title_full_unstemmed Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response
title_sort dynamics of a stochastic sirs epidemic model with regime switching and specific functional response
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description The purpose of this work is to investigate the dynamic behaviors of the SIRS epidemic model with nonlinear incident rate under regime switching. We establish the existence of a unique positive solution of our system. Furthermore, we obtain the conditions for the extinction of diseases, and we show the existence of the stationary distribution for our stochastic SIRS model under regime switching. Numerical simulations are employed to illustrate our theoretical analysis.
url http://dx.doi.org/10.1155/2020/5898456
work_keys_str_mv AT amineelkoufi dynamicsofastochasticsirsepidemicmodelwithregimeswitchingandspecificfunctionalresponse
AT abdelkrimbennar dynamicsofastochasticsirsepidemicmodelwithregimeswitchingandspecificfunctionalresponse
AT nourayousfi dynamicsofastochasticsirsepidemicmodelwithregimeswitchingandspecificfunctionalresponse
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