Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity

Autor:	Barker, William
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	This paper is concerned with the existence of traveling wave solutions for diffusive two-species Lotka-Volterra systems with delay in both the reaction and diffusion terms without monotonicity. We extend the partial or cross monotone iteration method to systems that satisfy the partial quasi-monotone condition via construction appropriate upper and lower solutions. This is done by using Schauder's fixed point theorem.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.11145 Zobrazit plný text záznamu View this record from Arxiv