Geodesic
Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching
A. El Koufi1 ; A. Bennar1 ; N. Yousfi1 ; M. Pitchaimani2
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.
Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 55.

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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.
DOI : 10.1051/mmnp/2021047

A. El Koufi 1 ; A. Bennar 1 ; N. Yousfi 1 ; M. Pitchaimani 2

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. 
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A. El Koufi; A. Bennar; N. Yousfi; M. Pitchaimani. Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching. Mathematical modelling of natural phenomena, Tome 16 (2021), article  no. 55. doi : 10.1051/mmnp/2021047. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2021047/

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