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  

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

作　　者：庞茹一 陈巧玲 PANG Ru-yi;CHEN Qiao-ling(College of Science,Xi’an Polytechnic University,Xi’an 710600,China)

机构地区：[1]College of Science,Xi’an Polytechnic University,Xi’an 710600,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第2期128-143,共16页数学季刊（英文版）

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

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 

分 类 号：O189.2[理学—数学]