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arxiv: 1101.3879 · v1 · pith:DRA4LUPSnew · submitted 2011-01-20 · 🧮 math.AP

A Note on a Nonlocal Nonlinear Reaction-Diffusion Model

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keywords nonlocalequationsnonlinearsystemage-structuredapplicationarisesbifurcation
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We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations.

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