Traveling wave solutions in a higher dimensional lattice competition-cooperation system with stage structure

Year 2020, Volume: 49 Issue: 3, 1084 - 1092, 02.06.2020

Yanli He Kun Li

https://doi.org/10.15672/hujms.466454

Abstract

In this paper, we consider the existence of traveling wave solutions in a higher dimensional lattice competition-cooperation system with stage structure. We first construct a pair of upper and lower solutions. The upper solutions are allowed to be larger than positive equilibrium point. Then we establish the existence of traveling wave solutions by means of cross iterative and Schauder's fixed point theorem.

Keywords

Lattice, Stage structure, Traveling wave solution, Schauder's fixed point theorem, Upper and lower solutions

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