Optimal control in a model of malaria with differential susceptibility

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dc.contributor.authorHincapié, D.
dc.contributor.authorOspina, J.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorHincapié, D.
dc.creatorOspina, J.
dc.date.accessioned2021-03-26T21:35:20Z
dc.date.available2021-03-26T21:35:20Z
dc.date.issued2014-01-01
dc.description.abstractA malaria model with differential susceptibility is analyzed using the optimal control technique. In the model the human population is classified as susceptible, infected and recovered. Susceptibility is assumed dependent on genetic, physiological, or social characteristics that vary between individuals. The model is described by a system of differential equations that relate the human and vector populations, so that the infection is transmitted to humans by vectors, and the infection is transmitted to vectors by humans. The model considered is analyzed using the optimal control method when the control consists in using of insecticide-treated nets and educational campaigns; and the optimality criterion is to minimize the number of infected humans, while keeping the cost as low as is possible. One first goal is to determine the effects of differential susceptibility in the proposed control mechanism; and the second goal is to determine the algebraic form of the basic reproductive number of the model. All computations are performed using computer algebra, specifically Maple. It is claimed that the analytical results obtained are important for the design and implementation of control measures for malaria. It is suggested some future investigations such as the application of the method to other vector-borne diseases such as dengue or yellow fever; and also it is suggested the possible application of free software of computer algebra like Maxima. © 2014 Copyright SPIE.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2375
dc.identifier.doi10.1117/12.2049782
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000345075200033
dc.identifier.otherSCOPUS;2-s2.0-84907048328
dc.identifier.urihttp://hdl.handle.net/10784/27417
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84907048328&doi=10.1117%2f12.2049782&partnerID=40&md5=ca91af48a5d63c9623e85f6f6edd1ea5
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordBasic Reproductive Numbereng
dc.subject.keywordBessel Functionseng
dc.subject.keywordComputer Algebraeng
dc.subject.keywordDifferentia Susceptibilityeng
dc.subject.keywordEducational Campaigneng
dc.subject.keywordEuler-Lagrange Equationeng
dc.subject.keywordInsecticide-treated Netseng
dc.subject.keywordMalariaeng
dc.subject.keywordMapleeng
dc.subject.keywordOptimal controleng
dc.titleOptimal control in a model of malaria with differential susceptibilityeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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