A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise

Badr-eddine Berrhazi, Mohamed El Fatini, Aziz Laaribi, Roger Pettersson and Regragui Taki

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 60-68

Abstract: In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model, incorporating media coverage and 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. Furthermore, we present some numerical results to support the theoretical work.

Keywords: Stochastic process; Lévy process; White noise (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:60-68

DOI: 10.1016/j.chaos.2017.10.007

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