A stochastic threshold for an epidemic model with Beddington–DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation

Badr-eddine Berrhazi, Mohamed El Fatini and Aziz Laaribi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 507, issue C, 312-320

Abstract: In this paper we study a stochastic epidemic model with delayed loss of immunity and Lévy noise perturbation. We establish the uniqueness of the global positive solution. We also investigate the extinction and the persistence in mean of the disease.

Keywords: Stochastic threshold; White noise; Lévy noise (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:507:y:2018:i:c:p:312-320

DOI: 10.1016/j.physa.2018.05.096

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