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Solution of a Simple advection-Diffusion population model

Angela A. Chukwu, Jean M. Tchuench


We consider the dynamics of a simple advection-diffusionmodel of competition between two species (predator and prey). In order to obtain a meaningful solution, we substitute the age variable for the space variable, and introduce a feedback mechanism or delay to characterize the time it takes individuals to respond to changes in their environment.

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