Spatial dynamics of a population with stage-dependent diffusion

dc.contributorUniversidade de São Paulo (USP)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorAzevedo, F.
dc.creatorCoutinho, R. M. [UNESP]
dc.creatorKraenkel, R. A. [UNESP]
dc.date2015-10-21T20:10:07Z
dc.date2015-10-21T20:10:07Z
dc.date2015-05-01
dc.date.accessioned2023-09-12T06:46:32Z
dc.date.available2023-09-12T06:46:32Z
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S1007570414003244
dc.identifierCommunications In Nonlinear Science And Numerical Simulation. Amsterdam: Elsevier Science Bv, v. 22, n. 1-3, p. 605-610, 2015.
dc.identifier1007-5704
dc.identifierhttp://hdl.handle.net/11449/128991
dc.identifier10.1016/j.cnsns.2014.07.010
dc.identifierWOS:000345700500046
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8778333
dc.descriptionWe explore the spatial dynamics of a population whose individuals go through life stages with very different dispersal capacities. We model it through a system of partial differential equations of the reaction-diffusion kind, with nonlinear diffusion terms that may depend on population density and on the stage. This model includes a few key biological ingredients: growth and saturation, life stage structure, small population effects, and diffusion dependent on the stage. In particular, we consider that adults exhibit two distinct classes: one highly mobile and the other less mobile but with higher fecundity rate, and the development of juveniles into one or the other depends on population density. We parametrize the model with estimated parameters of an insect species, the brown planthopper. We focus on a situation akin to an invasion of the species in a new habitat and find that the front of invasion is led by the most mobile adult class. We also show that the trade-off between dispersal and fecundity leads to invasion speed attaining its maximum at an intermediate value of the diffusion coefficient of the most mobile class. (C) 2014 Elsevier B.V. All rights reserved.
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionUniv Sao Paulo, Sch Med, Dept Med Informat, BR-01246903 Sao Paulo, Brazil
dc.descriptionUniv Estadual Paulista UNESP, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
dc.descriptionUniversidade Estadual Paulista UNESP, Instituto de Física Teórica, BR-01140070 Sao Paulo, Brazil
dc.format605-610
dc.languageeng
dc.publisherElsevier B.V.
dc.relationCommunications In Nonlinear Science And Numerical Simulation
dc.relation3.181
dc.relation1,372
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectReaction-diffusion equations
dc.subjectInvasion speed
dc.subjectStage structure
dc.subjectWing dimorphism
dc.titleSpatial dynamics of a population with stage-dependent diffusion
dc.typeArtigo


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