Traveling Wave Solutions for Integro-Difference Systems
Guo Lin
TL;DR
This paper investigates the existence and behavior of traveling wave solutions in higher-order integro-difference systems, using fixed point theorems and asymptotic analysis, and provides new results for specific systems.
Contribution
It introduces a method to establish traveling wave solutions for higher-order integro-difference systems using Schauder fixed point theorem and generalized solutions.
Findings
Existence of traveling wave solutions established for certain systems.
Asymptotic behavior characterized using contracting rectangles.
New results completed for three specific integro-difference systems.
Abstract
This paper is concerned with the traveling wave solutions for integro-difference systems of higher order. By using Schauder fixed point theorem, the existence of traveling wave solutions is reduced to the existence of generalized upper and lower solutions. Then the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles. To illustrate our results, the traveling wave solutions of three systems are considered, which completes some known results.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions