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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 91, 2019 - Issue 7: Hammamet Stochastic Analysis 2017
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Articles

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

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Pages 998-1019 | Received 29 Jan 2018, Accepted 12 Mar 2019, Published online: 24 Mar 2019
 

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.

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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.

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