具有食饵避难所的离散捕食者-食饵模型的余维二分支分析

庞茹一, 陈巧玲

doi:10.13371/j.cnki.chin.q.j.m.2024.02.002

数学季刊 >

2024 , Vol. 39 >Issue 2: 128 - 143

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.02.002

具有食饵避难所的离散捕食者-食饵模型的余维二分支分析

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College of Science, Xi’an Polytechnic University, Xi’an 710600, China

PANG Ru-yi (1998-), female, native of Zhoukou, Henan, graduate student of Xi’an Polytechnic University, engages in biomathematics; CHEN Qiao-ling (1987-), female, native of Xi’an, Shaanxi, professor of Xi’an Polytechnic University, engages in biomathematics.

收稿日期: 2023-07-14

网络出版日期: 2024-06-30

基金资助

Supported by the National Natural Science Foundation of China (Grant No. 12271421); The Shaanxi Province Innovation Talent Promotion Plan Project (Grant No. 2023KJXX-056).

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Codimension-Two Bifurcations Analysis of a Discrete Predator-Prey Model Incorporating a Prey Refuge

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College of Science, Xi’an Polytechnic University, Xi’an 710600, China

Received date: 2023-07-14

Online published: 2024-06-30

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 12271421); The Shaanxi Province Innovation Talent Promotion Plan Project (Grant No. 2023KJXX-056).

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摘要

In this paper, a discrete predator-prey model with prey refuge is investigated. It is proved that the model undergoes codimension-2 bifurcations associated with 1:2 and 1:3 resonances. The bifurcation diagrams and phase portraits show that the model has some interesting complex dynamical behaviors, such as limit cycle, periodic solutions, chaos and codimension-1 bifurcations.

关键词： Refuge; Discrete predator-prey model; Codimension-2 bifurcations; Chaos

本文引用格式

庞茹一, 陈巧玲 . 具有食饵避难所的离散捕食者-食饵模型的余维二分支分析[J]. 数学季刊, 2024 , 39(2) : 128 -143 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.02.002

Abstract

Key words： Refuge; Discrete predator-prey model; Codimension-2 bifurcations; Chaos

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