Traveling Wave Solutions in Temporally Discrete Lotka-Volterra Competitive Systems with Delays

IF 1 3区 数学 Q1 MATHEMATICS Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-09-11 DOI:10.1007/s40840-024-01764-7
Huaqin Peng, Qing Zhu
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Abstract

In this paper, we investigate the existence of traveling wave solution for temporally discrete Lotka Volterra competitive system with delays. By using the cross iteration method and Schauder’s fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The obtained results makes up and improves the results of the existence of traveling wave solutions for this systems.

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有延迟的时空离散洛特卡-伏特拉竞争系统中的游波解法
本文研究了具有延迟的时离散 Lotka Volterra 竞争系统的行波解的存在性。利用交叉迭代法和 Schauder 定点定理,我们将行波解的存在性简化为一对上解和一对下解的存在性。所得结果弥补并改进了该系统行波解存在性的结果。
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来源期刊
CiteScore
2.40
自引率
8.30%
发文量
176
审稿时长
3 months
期刊介绍: This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.
期刊最新文献
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