Dynamics of a Holling-Tanner predator–prey model with harvesting and anti-predator behavior

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-22 DOI:10.1016/j.aml.2025.109732

Mengxin He , Zhong Li

引用次数: 0

Abstract

In this paper, we investigate a Holling-Tanner predator–prey model with harvesting and anti-predator behavior. It is shown that the double positive equilibrium is a cusp of codimension 2, the triple positive equilibrium is a nilpotent saddle of codimension 3, and the order of weak focus is 3. With influence of harvesting and anti-predator behavior, system exhibits complex bifurcation phenomena such as a cusp type Bogdanov–Takens bifurcation of codimension 2, and a degenerate Hopf bifurcation of codimension 3.

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具有收获和反捕食行为的Holling-Tanner捕食者-猎物模型动力学

本文研究了一个具有收获和反捕食行为的Holling-Tanner捕食者-猎物模型。结果表明，双正平衡是余维数为2的尖点，三正平衡是余维数为3的幂零鞍，弱聚焦的阶数为3。在收获和反捕食行为的影响下，系统表现出复杂的分岔现象，如余维数2的尖型Bogdanov-Takens分岔和余维数3的简并Hopf分岔。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.