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Stability Analysis and Optimal Control of a Fractional Order Synthetic Drugs Transmission Model

dc.contributor.authorDas, Meghadri
dc.contributor.authorSamanta, Guruprasad
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.date.accessioned2021-04-20T11:12:03Z
dc.date.available2021-04-20T11:12:03Z
dc.date.issued2021-03-24
dc.identifier.citationMathematics 9(7) : (2021) // Article ID 703es_ES
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10810/51104
dc.description.abstractIn this work, a fractional-order synthetic drugs transmission model with psychological addicts has been proposed along with psychological treatment. The effects of synthetic drugs are deadly and sometimes even violent. We have studied the local and global stability of the model with different criterion. The existence and uniqueness criterion along with positivity and boundedness of the solutions have also been established. The local and global stabilities are decided by the basic reproduction number R0 . We have also analyzed the sensitivity of parameters. An optimal control problem has been formulated by controlling psychological addiction and analyzed by the help of Pontryagin maximum principle. These results are verified by numerical simulations.es_ES
dc.description.sponsorshipThis research was funded by the Spanish Government for its support through grant RTI2018-094336-B-100 (MCIU/AEI/FEDER, UE) and to the Basque Government for its support through grant IT1207-19.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.relationinfo:eu-repo/grantAgreement/MCIU/RTI2018-094336-B-100es_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subjectCaputo fractional differential equationes_ES
dc.subjectsynthetic drugses_ES
dc.subjectstabilityes_ES
dc.subjectoptimal controles_ES
dc.titleStability Analysis and Optimal Control of a Fractional Order Synthetic Drugs Transmission Modeles_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2021-04-09T13:48:30Z
dc.rights.holder2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).es_ES
dc.relation.publisherversionhttps://www.mdpi.com/2227-7390/9/7/703/htmes_ES
dc.identifier.doi10.3390/math9070703
dc.departamentoesElectricidad y electrónica
dc.departamentoeuElektrizitatea eta elektronika


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2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Except where otherwise noted, this item's license is described as 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).