Mathematical model for dengue with three states of infection

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dc.contributor.authorHincapie, D.
dc.contributor.authorOspina, J.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorHincapie, D.
dc.creatorOspina, J.
dc.date.accessioned2021-03-26T21:35:21Z
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2012-01-01
dc.description.abstractA mathematical model for dengue with three states of infection is proposed and analyzed. The model consists in a system of differential equations. The three states of infection are respectively asymptomatic, partially asymptomatic and fully asymptomatic. The model is analyzed using computer algebra software, specifically Maple, and the corresponding basic reproductive number and the epidemic threshold are computed. The resulting basic reproductive number is an algebraic synthesis of all epidemic parameters and it makes clear the possible control measures. The microscopic structure of the epidemic parameters is established using the quantum theory of the interactions between the atoms and radiation. In such approximation, the human individual is represented by an atom and the mosquitoes are represented by radiation. The force of infection from the mosquitoes to the humans is considered as the transition probability from the fundamental state of atom to excited states. The combination of computer algebra software and quantum theory provides a very complete formula for the basic reproductive number and the possible control measures tending to stop the propagation of the disease. It is claimed that such result may be important in military medicine and the proposed method can be applied to other vector-borne diseases. © 2012 SPIE.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=6785
dc.identifier.doi10.1117/12.919063
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000305799000004
dc.identifier.otherSCOPUS;2-s2.0-84863923093
dc.identifier.urihttp://hdl.handle.net/10784/27429
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84863923093&doi=10.1117%2f12.919063&partnerID=40&md5=fa7991dfb20b9e93e1bb788d8c394d7d
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordAlgebraic synthesiseng
dc.subject.keywordBasic reproductive numbereng
dc.subject.keywordComputer algebraeng
dc.subject.keywordControl measureseng
dc.subject.keywordDengueeng
dc.subject.keywordEpidemic thresholdeng
dc.subject.keywordMicroscopic structureseng
dc.subject.keywordMilitary medicineeng
dc.subject.keywordSystem of differential equationseng
dc.subject.keywordTransition probabilitieseng
dc.subject.keywordVector-borne diseaseeng
dc.subject.keywordAlgebraeng
dc.subject.keywordAtomseng
dc.subject.keywordBiometricseng
dc.subject.keywordDifferential equationseng
dc.subject.keywordEnvironmental engineeringeng
dc.subject.keywordMathematical modelseng
dc.subject.keywordQuantum theoryeng
dc.subject.keywordTechnologyeng
dc.subject.keywordDisease controleng
dc.titleMathematical model for dengue with three states of infectioneng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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