University of Birmingham > Talks@bham > Analysis seminar > Cross-diffusion and competitive interaction in Population dynamics

Cross-diffusion and competitive interaction in Population dynamics

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If you have a question about this talk, please contact Dr. Maria Carmen Reguera.

Joint Analysis/Applied seminar

In Population dynamics, reaction-cross diffusion systems model the evolution of populations of competing species with a repulsive effect between individuals. For these strongly coupled nonlinear systems, a question as basic as the existence of solutions appears to be extremely complex. Thanks to an approach based on the most recent extensions of duality lemmas and on entropy methods, we prove the existence of weak solutions in a general setting of reaction-cross diffusion systems, as well as some qualitative properties of the solutions.

This talk is part of the Analysis seminar series.

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