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

TOLEDO, Maria do Carmo Pacheco de; OLIVA, Sergio Muniz

Artículos de revistas

Fecha

2009

Registro en:

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

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1627203

Autor

TOLEDO, Maria do Carmo Pacheco de

OLIVA, Sergio Muniz

Institución

Universidade de São Paulo (Brasil)

Resumen

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.

Materias

discretization

reaction-diffusion equation with delay

asymptotic dynamic behavior

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