A stochastic SIRI epidemic model with Lévy noise

Berrhazi, Badr-eddine; El Fatini, Mohamed; Caraballo Garrido, Tomás; Pettersson, Roger

doi:10.3934/dcdsb.2018057

Artículo

dc.creator	Berrhazi, Badr-eddine	es
dc.creator	El Fatini, Mohamed	es
dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Pettersson, Roger	es
dc.date.accessioned	2018-09-12T10:49:41Z
dc.date.available	2018-09-12T10:49:41Z
dc.date.issued	2018
dc.identifier.citation	Berrhazi, B., El Fatini, M., Caraballo Garrido, T. y Pettersson, R. (2018). A stochastic SIRI epidemic model with Lévy noise. Discrete and Continuous Dynamical Systems - Series B, 23 (9), 3645-3661.
dc.identifier.issn	1531-3492	es
dc.identifier.issn	1553-524X	es
dc.identifier.uri	https://hdl.handle.net/11441/78448
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	American Institute of Mathematical Sciences	es
dc.relation.ispartof	Discrete and Continuous Dynamical Systems - Series B, 23 (9), 3645-3661.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	SIRI epidemic model	es
dc.subject	Lévy process	es
dc.subject	Wwhite noise	es
dc.title	A stochastic SIRI epidemic model with Lévy noise	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.publisherversion	http://aimsciences.org//article/doi/10.3934/dcdsb.2018057	es
dc.identifier.doi	10.3934/dcdsb.2018057	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
idus.format.extent	18 p.	es
dc.journaltitle	Discrete and Continuous Dynamical Systems - Series B	es
dc.publication.volumen	23	es
dc.publication.issue	9	es
dc.publication.initialPage	3645	es
dc.publication.endPage	3661	es

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