Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel

Caraballo Garrido, Tomás; El Fatini, Mohamed; El Khalifi, Mohamed; Gerlach,  Richard; Pettersson, Roger

doi:10.1016/j.chaos.2020.109643

Artículo

dc.creator	Caraballo Garrido, Tomás	es
dc.creator	El Fatini, Mohamed	es
dc.creator	El Khalifi, Mohamed	es
dc.creator	Gerlach, Richard	es
dc.creator	Pettersson, Roger	es
dc.date.accessioned	2020-02-03T08:41:05Z
dc.date.available	2020-02-03T08:41:05Z
dc.date.issued	2020-04
dc.identifier.citation	Caraballo Garrido, T., El Fatini, M., El Khalifi, M., Gerlach, . y Pettersson, R. (2020). Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel. Chaos, Solitons and Fractals, 133 (109643)
dc.identifier.issn	0960-0779	es
dc.identifier.uri	https://hdl.handle.net/11441/92693
dc.description.abstract	In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine some sufficient criteria for the extinction of the disease and its persistence. In addition, we establish the existence of a unique stationary distribution to our model. Finally, we provide some numerical simulations for the stochastic model to assist and show the applicability and efficiency of our results.	es
dc.description.sponsorship	Ministerio de Ciencia, Innovación y Universidades (MICINN). España	es
dc.description.sponsorship	European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)	es
dc.format	application/pdf	es
dc.language.iso	por	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Chaos, Solitons and Fractals, 133 (109643)
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Epidemic model	es
dc.subject	Distributed delay	es
dc.subject	Extinction	es
dc.subject	Persistence	es
dc.subject	Stationary distribution	es
dc.title	Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel	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.projectID	PGC2018-096540-B-I00	es
dc.relation.publisherversion	https://reader.elsevier.com/reader/sd/pii/S0960077920300424?token=FA177EA1B3018FD7EB0C634502C5150253362403B0F67EEAF61ABADF1FD957ABC4C7A66F3E32E12155D001C5DE0F1008	es
dc.identifier.doi	10.1016/j.chaos.2020.109643	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
idus.format.extent	22 p.	es
dc.journaltitle	Chaos, Solitons and Fractals	es
dc.publication.volumen	133	es
dc.publication.issue	109643	es

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