吉林大学学报（理学版）2025，Vol.63Issue(5)：1293-1301,9.DOI:10.13413/j.cnki.jdxblxb.2024476
具有替代性食饵和Michaelis-Menten型收获的捕食者-食饵模型的稳定性及分支分析
Stability and Bifurcation Analysis of Predator-Prey Model with Alternative Prey and Michaelis-Menten Type Harvesting
摘要
Abstract
We considered a predator-prey model with alternative prey and Michaelis-Menten type harvesting.Firstly,we discussed the existence and stability of its boundary equilibrium points and interior equilibrium points.Secondly,taking the coefficient of Michaelis-Menten type harvesting as the bifurcation parameter,we proved the existence of Hopf bifurcation at its interior equilibrium point and its properties by using the Hopf bifurcation theorem.Finally,we verified the correctness of the theoretical results through numerical simulations by using MATLAB software.关键词
捕食者-食饵模型/Michaelis-Menten型收获/替代性食饵/Hopf分支/稳定性Key words
predator-prey model/Michaelis-Menten type harvesting/alternative prey/Hopf bifurcation/stability分类
数理科学引用本文复制引用
张锦兰,高红亮..具有替代性食饵和Michaelis-Menten型收获的捕食者-食饵模型的稳定性及分支分析[J].吉林大学学报（理学版）,2025,63(5):1293-1301,9.基金项目
国家自然科学基金(批准号:11961039)和甘肃省高等学校青年博士项目(批准号:2022QB-056). （批准号:11961039）
