Numerical-analytical solutions of predator-prey models

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dc.citation.journalTitleWseas Transactions On Biology And Biomedicineeng
dc.contributor.authorGonzález-Parra Gilberto, G.
dc.contributor.authorArenas, A.J.
dc.contributor.authorCogollo, M.R.
dc.contributor.departmentUniversidad EAFIT. Escuela de Cienciasspa
dc.contributor.researchgroupModelado Matemáticospa
dc.date.accessioned2021-04-12T14:07:11Z
dc.date.available2021-04-12T14:07:11Z
dc.date.issued2013-01-01
dc.description.abstractThis paper deals with the construction of piecewise analytic approximate solutions for nonlinear initial value problems modeled by a system of nonlinear ordinary differential equations. In real world several biological and environmental parameters in the predator-prey model vary in time. Thus, non-autonomous systems are important to be studied. We show the effectiveness of the method for autonomous and non-autonomous predator-prey systems. The method we have used is called the differential transformation method which has some suitable properties such as accuracy, low computational cost, easiness of implementation and simulation as well as preserving properties of the exact theoretical solution of the problem. The accuracy of the method is checked by numerical comparison with fourth-order Runge-Kutta results applied to several predator-prey examples.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1956
dc.identifier.issn11099518
dc.identifier.otherSCOPUS;2-s2.0-84887330347
dc.identifier.urihttp://hdl.handle.net/10784/27765
dc.language.isoengeng
dc.publisherWorld Scientific and Engineering Academy and Society
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84887330347&partnerID=40&md5=81fa2f6e6b0a23e29f31a4a11c6cb640
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/1109-9518
dc.sourceWseas Transactions On Biology And Biomedicine
dc.subject.keywordaccuracyeng
dc.subject.keywordarticleeng
dc.subject.keywordcomputational fluid dynamicseng
dc.subject.keywordmathematical modeleng
dc.subject.keywordMichaelis Menten kineticseng
dc.subject.keywordmolecular dynamicseng
dc.subject.keywordnonhumaneng
dc.subject.keywordpredator prey interactioneng
dc.subject.keywordreliabilityeng
dc.subject.keywordsimulationeng
dc.titleNumerical-analytical solutions of predator-prey modelseng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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