Lévy noise perturbation for an epidemic model with impact of media coverage

ABSTRACT

This work is devoted to study the existence and uniqueness of global positive solution for a stochastic epidemic model with media coverage driven by Lévy noise. We also investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Numerical simulations are presented to confirm the theoretical results.

KEYWORDS:

• Stochastic epidemic model
• media coverage
• Lévy noise

AMS SUBJECT CLASSIFICATIONS:

• 92D30
• 92B05
• 60H40
• 60G51
• 60G57

Acknowledgments

The authors would like to thank referees and the editors for their insightful comments to improve this paper. This research was conducted within the framework of Erasmus+ project between Ibn Tofail University, Morocco and Linneaus University, Sweden. We would like to express our special thanks to Professor Astrid Hilbert, Department of Mathematics, Linnaeus University, Växjö, Sweden, for being always willing to help.

Disclosure statement

No potential conflict of interest was reported by the authors.