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A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data

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A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data

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Nombre: Burgos-SimonCorte ...
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dc.contributor.author Burgos-Simon, Clara es_ES
dc.contributor.author Cortés, J.-C. es_ES
dc.contributor.author Shaikhet, L. es_ES
dc.contributor.author Villanueva Micó, Rafael Jacinto es_ES
dc.date.accessioned 2022-01-03T19:00:54Z
dc.date.available 2022-01-03T19:00:54Z
dc.date.issued 2021-04 es_ES
dc.identifier.issn 1937-1632 es_ES
dc.identifier.uri http://hdl.handle.net/10251/179233
dc.description.abstract [EN] In this paper we propose a stochastic mathematical model with distributed delay in order to describe the transmission dynamics of cocaine consumption in Spain. We investigate conditions to guarantee the stability in probability of the equilibrium points under stochastic perturbations via the white noise processes. The results are applied to the model cocaine consumption using data retrieved from the Spanish Drug National Plan, http://www.pnsd.mscbs.gob.es/. The obtained results may be useful for policy health authorities in order to improve the strategies against the drug consumption in the long-run. es_ES
dc.description.sponsorship This work has been supported by the Spanish Ministerio de Economia, Industria y Competitividad (MINECO), the Agencia Estatal de Investigacion (AEI) and Fondo Europeo de Desarrollo Regional (FEDER UE) grant MTM2017-89664-P. Computations have been carried thanks to the collaboration of Raul San Julian Garces and Elena Lopez Navarro granted by European Union through the Operational Program of the European Regional Development Fund (ERDF)/European Social Fund (ESF) of the Valencian Community 2014-2020, grants GJIDI/2018/A/009 and GJIDI/2018/A/010, respectively es_ES
dc.language Inglés es_ES
dc.publisher American Institute of Mathematical Sciences es_ES
dc.relation.ispartof Discrete and Continuous Dynamical Systems. Series S es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear stochastic differential equations with delay es_ES
dc.subject Lyapunov stability stochastic analysis es_ES
dc.subject Cocaine consumption dynamical model es_ES
dc.subject Computational methods and simulations in nonlinear stochastic models es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3934/dcdss.2020356 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EDUC.INVEST.CULT.DEP//GJIDI%2F2018%2FA%2F009//AYUDA GARANTIA JUVENIL GVA-ACTUALIZACIÓN DE UN SISTEMA CLIENTE-SERVIDOR DE COMPUTACIÓN DISTRIBUIDA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EDUC.INVEST.CULT.DEP//GJIDI%2F2018%2FA%2F010//AYUDA GARANTIA JUVENIL GVA: PERSONAL TECNICO-GESTOR EN MODELIZACION MATEMATICA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Burgos-Simon, C.; Cortés, J.; Shaikhet, L.; Villanueva Micó, RJ. (2021). A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data. Discrete and Continuous Dynamical Systems. Series S. 14(4):1233-1244. https://doi.org/10.3934/dcdss.2020356 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3934/dcdss.2020356 es_ES
dc.description.upvformatpinicio 1233 es_ES
dc.description.upvformatpfin 1244 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 14 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\399393 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES


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