Strong Persistence of a Class of Strongly Coupled Parabolic Systems of $m$ Equations

Dung Le

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arXiv · 2306.02844

Strong Persistence of a Class of Strongly Coupled Parabolic Systems of $m$ Equations

Dung Le

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Abstract

We establish one of the most important assumptions of the strong persistence theory for dynamical systems associated to cross diffusion systems of $m$ equations ($m\ge2$): the stable sets of semi-trivial steady cannot intersect the interior of the positive cone of $C(\Omega,\mathbb{R}^m)$. Many examples will be provided to show the effects of the cross diffusion.

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Dung Le. 2023-06-05. Strong Persistence of a Class of Strongly Coupled Parabolic Systems of $m$ Equations. https://arxiv.org/abs/2306.02844

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