Stability and instability of constant stationary solutions to some integro-differential equations
Analysis of PDEs
2024-09-06 v1
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.
Keywords
Cite
@article{arxiv.2409.03191,
title = {Stability and instability of constant stationary solutions to some integro-differential equations},
author = {Yuming Chen and Vitali Vougalter},
journal= {arXiv preprint arXiv:2409.03191},
year = {2024}
}