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

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorKraenkel, Roberto André
dc.creatorManikandan, K.
dc.creatorSenthilvelan, M.
dc.date2014-05-27T11:29:01Z
dc.date2016-10-25T18:47:53Z
dc.date2014-05-27T11:29:01Z
dc.date2016-10-25T18:47:53Z
dc.date2013-05-01
dc.date.accessioned2017-04-06T02:21:55Z
dc.date.available2017-04-06T02:21:55Z
dc.identifierCommunications in Nonlinear Science and Numerical Simulation, v. 18, n. 5, p. 1269-1274, 2013.
dc.identifier1007-5704
dc.identifierhttp://hdl.handle.net/11449/75205
dc.identifierhttp://acervodigital.unesp.br/handle/11449/75205
dc.identifier10.1016/j.cnsns.2012.09.019
dc.identifierWOS:000311342000016
dc.identifier2-s2.0-84869885238
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2012.09.019
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/895952
dc.descriptionWe 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.
dc.languageeng
dc.relationCommunications in Nonlinear Science and Numerical Simulation
dc.rightsinfo:eu-repo/semantics/closedAccess
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 system
dc.typeOtro


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