Open AccessA discretization scheme for an one-dimensional reaction-diffusion equation with delay and its dynamics
Author(s) -
Maria do Carmo Pacheco de Toledo,
Sergio Oliva
Publication year - 2009
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2009.23.1041
Subject(s) - discretization , reaction–diffusion system , dynamics (music) , scheme (mathematics) , diffusion equation , delay differential equation , ordinary differential equation , diffusion , differential equation , population , partial differential equation , mathematics , population model , mathematical analysis , physics , thermodynamics , demography , economy , sociology , acoustics , economics , service (business)
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, BrazilCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES