吉林大学学报（理学版）2025，Vol.63Issue(2)：417-424,8.DOI:10.13413/j.cnki.jdxblxb.2024308
双猎物种群合作对抗捕食者种群的建模与分析
Modeling and Analysis of Cooperation between Double Prey Populations against Predator Population
摘要
Abstract
Based on a three-dimensional predator-prey model,we discussed the cooperation between prey populations and their impact on the predation process.Firstly,we analyzed the existence and stability of equilibrium points of the system by using dynamical system theory,and proved the periodic oscillation characteristics of equilibrium points in prey free populations.Secondly,the theoretical results were verified through numerical simulation.The numerical simulation results show that the equilibrium point E1 of the prey free populations y and the equilibrium point E2 of the prey free populations z are both periodic oscillations,and the amplitude of the oscillations gradually increases with the increase of the cooperative effect.关键词
捕食-猎物模型/合作/平衡点/数值模拟Key words
predator-prey model/cooperation/equilibrium point/numerical simulation分类
数理科学引用本文复制引用
冯姗姗,张永鑫..双猎物种群合作对抗捕食者种群的建模与分析[J].吉林大学学报（理学版）,2025,63(2):417-424,8.基金项目
国家自然科学基金青年科学基金(批准号:12201583)和中国博士后科学基金(批准号:2024M752989). （批准号:12201583）
