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A comparison between random and stochastic modeling for a SIR model


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dc.creator Caraballo Garrido, Tomás es
dc.creator Colucci, Renato es 2017-01-25T07:39:47Z 2017-01-25T07:39:47Z 2017-01
dc.identifier.citation Caraballo Garrido, T. y Colucci, R. (2017). A comparison between random and stochastic modeling for a SIR model. Communications on Pure and Applied Analysis, 16 (1), 151-162.
dc.identifier.issn 1534-0392 es
dc.identifier.issn 1553-5258 es
dc.description.abstract In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and V. S. Kozyakin, The dynamics of epidemiological systems with nonautonomous and random coefficients, MESA: Mathematics in Engineering, Science and Aerospace, vol. 2, no. 2 (2011).is considered. In particular, the existence of a random attractor is proved for the random model and the persistence of the disease is analyzed as well. In the stochastic case, we consider some environmental effect on the model, in fact, we assume that one of the coefficients of the system is affected by some stochastic perturbation, and analyze the asymptotic behavior of the solutions. The paper is concluded with a comparison between the two different modeling strategies. es
dc.description.sponsorship Fondo Europeo de Desarrollo Regional es
dc.description.sponsorship Ministerio de Economía y Competitividad es
dc.description.sponsorship Junta de Andalucía es
dc.format application/pdf es
dc.language.iso eng es
dc.publisher American Institute of Mathematical Sciences es
dc.relation.ispartof Communications on Pure and Applied Analysis, 16 (1), 151-162.
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri *
dc.subject Epidemiology es
dc.subject Stochastic differential equations es
dc.subject Random dynamical systems es
dc.title A comparison between random and stochastic modeling for a SIR model es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/acceptedVersion es
dc.rights.accessrights info:eu-repo/semantics/embargoAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico es
dc.relation.projectID info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P es
dc.relation.projectID P12-FQM-1492 es 2018-01
dc.relation.publisherversion es
dc.identifier.doi 10.3934/cpaa.2017007 es Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales es
idus.format.extent 12 p. es
dc.journaltitle Communications on Pure and Applied Analysis es
dc.publication.volumen 16 es
dc.publication.issue 1 es
dc.publication.initialPage 151 es
dc.publication.endPage 162 es
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