A discretization scheme for an one-dimensional reaction-diffusion equation with delay and its dynamics | Zendy

Maria do Carmo Pacheco de Toledo | Zendy; Sergio Oliva | Zendy

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A 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 - 2008

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

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