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On certain new exact solutions of a diffusive predator-prey system

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManikandan, K.
dc.contributor.authorSenthilvelan, M.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionBharathidasan University
dc.date.accessioned2014-05-27T11:29:01Z
dc.date.available2014-05-27T11:29:01Z
dc.date.issued2013-05-01
dc.description.abstractWe construct exact solutions for a system of two coupled nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capita growth rate is subject to the Allee effect. Using the G'/G expansion method, we derive exact solutions to this model for two different wave speeds. For each wave velocity we report three different forms of solutions. We also discuss the biological relevance of the solutions obtained. © 2012 Elsevier B.V.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo
dc.description.affiliationCentre for Nonlinear Dynamics School of Physics Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo
dc.format.extent1269-1274
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2012.09.019
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, v. 18, n. 5, p. 1269-1274, 2013.
dc.identifier.doi10.1016/j.cnsns.2012.09.019
dc.identifier.issn1007-5704
dc.identifier.scopus2-s2.0-84869885238
dc.identifier.urihttp://hdl.handle.net/11449/75205
dc.identifier.wosWOS:000311342000016
dc.language.isoeng
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofjcr3.181
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectG'/G-Expansion method
dc.subjectPredator-prey system
dc.subjectReaction-diffusion equations
dc.subjectDiffusive predator-prey system
dc.subjectExact solution
dc.subjectExpansion methods
dc.subjectNonlinear partial differential equations
dc.subjectPer capita
dc.subjectPredator - Prey system
dc.subjectReaction diffusion equations
dc.subjectSpatio-temporal dynamics
dc.subjectWave speed
dc.subjectWave velocity
dc.subjectEcosystems
dc.subjectMathematical models
dc.subjectPartial differential equations
dc.subjectPredator prey systems
dc.subjectLinear equations
dc.titleOn certain new exact solutions of a diffusive predator-prey systemen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.author.orcid0000-0001-5602-5184[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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São Paulo - IFT - Instituto de Física Teórica