Global solution and blow-up for the SKT model in Population Dynamics

Autor:	Belkhamsa, Ichraf, Souilah, Messaoud
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.06045 Zobrazit plný text záznamu View this record from Arxiv