DYNAMICS OF TRAVELING WAVES FOR PREDATOR-PREY SYSTEMS WITH ALLEE EFFECT AND TIME DELAY

被引：0

作者：

Hua, Yang ^{[1
]}

Lin, Xiaojie ^{[1
]}

Liu, Jiang ^{[1
]}

Lu, Haixia ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

[2] Jiangsu Normal Univ, Sch Life Sci, Xuzhou 221116, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 33期

关键词：

Predator-prey system; Allee effect; traveling waves; asymptotic behavior; geometric singular perturbation; KELLER-SEGEL SYSTEM; HOPF-BIFURCATION; DIFFUSION; STABILITY; MODEL; COMPETITION; CHEMOSTAT;

D O I：

10.58997/ejde.2024.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article aims to establish the existence of traveling waves for a predator -prey system with Beddington-DeAngelis functional response, reproductive Allee effect, and time delay. We investigate the existence of solutions for a system with two special delay kernels by geometric singular perturbation theory, invariant manifold theory, and Fredholm orthogonality theory. In addition, we discuss the asymptotic behaviors of traveling waves with the aid of the asymptotic theory.

引用

页码：1 / 19

页数：19

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