Dynamics Behaviors of a Hybrid Switching Epidemic Model with Le ́vy Noise

Authors

Amine El Koufi, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow
Abdelkrim Bennar, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow
Noura Yousfi, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow

Author Country (or Countries)

Morocco

Abstract

The present paper investigates the dynamical behaviors of a stochastic SIRS epidemic model with telegraphic noise and Le ́vy noise. First, we establish the existence of a unique global positive solution for stochastic model. Furthermore, by constructing some suitable Lyapunov functions, we show that if R0 ≤ 1 and under some conditions on the parameters, then the solution of stochastic system fluctuates around the disease-free equilibrium, and if R0 > 1 the solution of stochastic system fluctuates around the disease- endemic equilibrium of the deterministic model. Finally, we present numerical simulations to support the theoretical results

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150204

Recommended Citation

El Koufi, Amine; Bennar, Abdelkrim; and Yousfi, Noura (2021) "Dynamics Behaviors of a Hybrid Switching Epidemic Model with Le ́vy Noise," Applied Mathematics & Information Sciences: Vol. 15: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/amis/150204
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss2/4