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

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  • 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.
    Mathematics Subject Classification: Primary: 35K57,35M99,35R10; Secondary: 35B40,37L25.


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