Global solution and blow-up for the SKT model in Population Dynamics
Analysis of PDEs
2024-05-15 v4 Dynamical Systems
Abstract
In this paper, we prove the existence and uniqueness of the global solution to the reaction diffusion system SKT with homogeneous Newmann boundary conditions. We use the lower and upper solution method and its associated monotone iterations where the reaction functions are locally Lipschitz .We study the blowing-up property of the solution, we give a sufficient condition on the reaction parameters of the model to ensure the blow-up of the solution continuous functions spaces.
Keywords
Cite
@article{arxiv.2306.06045,
title = {Global solution and blow-up for the SKT model in Population Dynamics},
author = {Ichraf Belkhamsa and Messaoud Souilah},
journal= {arXiv preprint arXiv:2306.06045},
year = {2024}
}