一类具有恐惧效应的捕食-食饵模型的行波解

Abstract

Abstract:

This work investigates traveling wave solutions in a predator-prey system incorporating fear effects. We establish the existence of such solutions through Schauder's fixed-point theorem and rigorously analyze their boundedness properties. The analysis reveals that bounded traveling wave solutions emerge when the wave speed exceeds a critical threshold $c^*$. These results demonstrate that fear effects significantly influence population dynamics, particularly in spatial propagation processes. The study advances the mathematical understanding of predator-prey interactions while providing a quantitative framework to assess fear-induced ecological phenomena.

Key words: predator-prey model, fear effect, traveling wave solutions, population dynamics

CLC Number:

O175.14

Guangquan Zhang, Jingxin Wang. Traveling Wave Solutions of a Class of Predator-Prey Models with the Fear Effect[J].Acta mathematica scientia,Series A, 2026, 46(6): 2371-2386.

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References 14

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Traveling Wave Solutions of a Class of Predator-Prey Models with the Fear Effect

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