Stability and instability of constant stationary solutions to some integro-differential equations

Yuming Chen; Vitali Vougalter

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arXiv · 2409.03191

Stability and instability of constant stationary solutions to some integro-differential equations

Yuming Chen·Vitali Vougalter

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Abstract

We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions.

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Yuming Chen, Vitali Vougalter. 2024-09-05. Stability and instability of constant stationary solutions to some integro-differential equations. https://arxiv.org/abs/2409.03191

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