Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion
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Published:2023-09-30
Issue:
Volume:
Page:1-16
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Li KunORCID,
He YanliORCID
Abstract
This paper is concerned with the existence of traveling wave solutions of a higher
dimensional lattice delayed cooperation system with nonlocal diffusion.
For sufficiently small intraspecific cooperative delays, we construct upper
and lower solutions
under two different parameters conditions. And then, by using the monotone
iterative and Schauder's fixed point theorem,
we obtain the existence of traveling wave solutions.
The lower bound of the wave speed is in accordance with the properties of linear determined.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis