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arXiv · 2405.15457

Study of a class of triangular starvation driven cross-diffusion systems

Elisabetta Brocchieri·Laurent Desvillettes·Helge Dietert
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Abstract

We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two species in competition. This study involves an equivalent system in non-divergence form, for which existence can be obtained thanks to Schauder's fixed point theorem.

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Elisabetta Brocchieri, Laurent Desvillettes, Helge Dietert. 2024-05-24. Study of a class of triangular starvation driven cross-diffusion systems. https://arxiv.org/abs/2405.15457

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