Traveling wave solutions for three-species nonlocal competitive-cooperative systems

Abstract

By using a two-point boundary-value problem and a Schauder's fixed point theorem, we obtain traveling wave solutions connecting \((0,0,0)\) to an unknown positive steady state for speed \(c\geq c^{\ast}=\max\{2,2\sqrt{d_2r_2},2\sqrt{d_3r_3}\}\). Then we present some asymptotic behaviors of traveling wave solutions. In particular we show that the nonlocal effects have a great influence on the final state of traveling wave solutions at \(-\infty\). For more information see https://ejde.math.txstate.edu/Volumes/2023/55/abstr.html