Traveling wave in a ratio-dependent Holling–Tanner system with nonlocal diffusion and strong Allee effect

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-02-06 DOI:10.1016/j.nonrwa.2025.104327

Hongliang Li , Min Zhao , Rong Yuan

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引用次数: 0

Abstract

This paper explores a ratio-dependent Holling–Tanner predator–prey system with nonlocal diffusion, wherein the prey is subject to strong Allee effect. To be specific, by using Schauder’s fixed point theorem and iterative technique, we establish a theoretical framework regarding the existence of traveling waves. We meticulously construct upper and lower solutions and a novel sequence, and employ the squeeze method to validate the existence of traveling waves for

c > c^{*}

. Additionally, by spreading speed theory and the comparison principle, we confirm the existence of traveling wave with

c = c^{*}

. Finally, we investigate the nonexistence of traveling waves for

c < c^{*}

, and conclusively determine the minimal wave speed.

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具有非局部扩散和强Allee效应的比相关Holling-Tanner系统中的行波

本文研究了一类非局部扩散的比率依赖的Holling-Tanner捕食者-食饵系统，其中食饵受强Allee效应的影响。具体来说，我们利用Schauder不动点定理和迭代技术，建立了行波存在性的理论框架。我们精心构造了c>；c *的上下解和一个新的序列，并利用挤压方法验证了行波的存在性。此外，利用传播速度理论和比较原理，我们证实了c=c *的行波的存在性。最后，我们研究了c<；c *的行波不存在性，并最终确定了最小波速。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.