| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Mathematical Models and Methods in Epidemiology
|
|
|---|---|---|
| Article Number | 55 | |
| Number of page(s) | 15 | |
| DOI | https://doi.org/10.1051/mmnp/2021047 | |
| Published online | 12 October 2021 | |
Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching
1
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University,
P.O. Box 7955 Sidi Othman,
Casablanca, Morocco.
2
Ramanujan Institute for Advanced Study in Mathematics, University of Madras,
Chennai
600 005,
Tamil Nadu, India.
* Corresponding author: elkoufiamine1@gmail.com
Received:
15
April
2021
Accepted:
23
September
2020
In this paper, we consider a stochastic SIRS epidemic model with nonlinear incidence and Markovian switching. By using the stochastic calculus background, we establish that the stochastic threshold ℜswt can be used to determine the compartment dynamics of the stochastic system. Some examples and numerical simulations are presented to confirm the theoretical results established in this paper.
Mathematics Subject Classification: 34C12 / 60H10 / 92D25
Key words: Epidemic model / Markov switching / stochastic threshold / persistence / extinction
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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