具有移动环境的 Lotka-Volterra 合作系统周期强迫波的存在性

Abstract

Abstract:

This paper is concerned with the existence of periodic forced waves on a two-dimensional lattice for Lotka-Volterra cooperative systems with a shifting habitat. First, we prove the existence and uniqueness of solutions to the initial value problem for the Lotka-Volterra system and establish a comparison principle. Second, we construct a pair of upper and lower solutions of the Lotka-Volterra cooperative system and prove the existence of periodic forced waves consistent with the habitat movement velocity by monotone iteration technique and combining the upper and lower solution methods.

Key words: existence, periodic forced waves, Lotka-Volterra cooperative system, monotone iteration technique, upper and lower solutions

CLC Number:

0175

Guozheng Wang,Zhenxia Shi. Existence of Periodic Forced Waves for a Lotka-Volterra Cooperative System with Shifting Habitat[J].Acta mathematica scientia,Series A, 2025, 45(2): 479-492.

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References 21

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Existence of Periodic Forced Waves for a Lotka-Volterra Cooperative System with Shifting Habitat

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