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A stochastic SIRI epidemic model with Lévy noise
Ibn Tofail University, Morocco.
Ibn Tofail University, Morocco.
University of Seville, Spain.
Linnaeus University, Faculty of Technology, Department of Mathematics. (DISA-DSM)ORCID iD: 0000-0002-7790-0539
2018 (English)In: Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, E-ISSN 1553-524X, Vol. 23, no 6, p. 2415-2431Article in journal (Refereed) Published
Abstract [en]

Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not acquit permanent immunity but return to infectious class. Such diseases are modeled by SIRI models. In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model with relapse and jumps. 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.

Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2018. Vol. 23, no 6, p. 2415-2431
Keywords [en]
SIRI epidemic model, Lévy process, white noise
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-73095DOI: 10.3934/dcdsb.2018057ISI: 000445290400006Scopus ID: 2-s2.0-85082347187OAI: oai:DiVA.org:lnu-73095DiVA, id: diva2:1199248
Available from: 2018-04-19 Created: 2018-04-19 Last updated: 2022-11-17Bibliographically approved

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Pettersson, Roger

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