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

Joint Authors

Yousfi, Noura
Koufi, Amine EL
Bennar, Abdelkrim

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-04-27

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Koufi, Amine EL& Bennar, Abdelkrim& Yousfi, Noura. 2020. Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153209

Modern Language Association (MLA)

Koufi, Amine EL…[et al.]. Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1153209

American Medical Association (AMA)

Koufi, Amine EL& Bennar, Abdelkrim& Yousfi, Noura. Dynamics of a Stochastic SIRS Epidemic Model with Regime Switching and Specific Functional Response. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153209

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1153209