A DISCRETIZATION SCHEME FOR AN ONE-DIMENSIONAL REACTION-DIFFUSION EQUATION WITH DELAY AND ITS DYNAMICS


Autoria(s): TOLEDO, Maria do Carmo Pacheco de; OLIVA, Sergio Muniz
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

The goal of this paper is to present an approximation scheme for a reaction-diffusion equation with finite delay, which has been used as a model to study the evolution of a population with density distribution u, in such a way that the resulting finite dimensional ordinary differential system contains the same asymptotic dynamics as the reaction-diffusion equation.

CAPES, Brazil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Identificador

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.23, n.3, p.1041-1060, 2009

1078-0947

http://producao.usp.br/handle/BDPI/30564

10.3934/dcds.2009.23.1041

http://dx.doi.org/10.3934/dcds.2009.23.1041

Idioma(s)

eng

Publicador

AMER INST MATHEMATICAL SCIENCES

Relação

Discrete and Continuous Dynamical Systems

Direitos

restrictedAccess

Copyright AMER INST MATHEMATICAL SCIENCES

Palavras-Chave #discretization #reaction-diffusion equation with delay #asymptotic dynamic behavior #DIFFERENTIAL-EQUATIONS #UPPER SEMICONTINUITY #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion