移动环境中捕食－食饵格微分系统的强迫波

Forced waves in a predator-prey lattice differential system in a shifting environment

摘要

研究一类移动环境中捕食－食饵格微分模型强迫波的存在性和不存在性。首先，通过构造合适的上下解以及应用Schauder不动点定理证明该模型强迫波的存在性；其次，利用反证法证明强迫波的不存在性。

Abstract

In this paper, we study the existence and nonexistence of forced waves in a class of predator-prey lattice differential models in a shifting environment. Firstly, we prove the existence of forced waves for this model by constructing suitable upper and lower solutions and applying Schauder fixed point theorem. Then, we prove the nonexistence of forced wave by using the method of proof by contradiction.

关键词

捕食－食饵模型 / 格微分系统 / 移动环境 / 强迫波

Key words

predator-prey model / Lattice differential system / shifting environment / forced wave

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