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Numerical investigations of long range segregation systems

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Free Boundary Problems and Related Topics

We investigate numerical approximation for a class of elliptic and parabolic competition-diffusion systems of long range segregation models for two and more competing species.

Also we study the long term behavior for parabolic system. We prove that as the competition rate goes to infinity the solution converges, along with suitable sequences, to a spatially long range segregated state satisfying some differential inequalities.

Moreover, we provide numerical simulations for parabolic and elliptic cases.

This talk is part of the Isaac Newton Institute Seminar Series series.

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