沈阳大学学报（自然科学版）2025，Vol.37Issue(2)：178-188,11.
具有Michaelis-Menten型捕食者收获项的离散捕食者-食饵模型的余维二分支
Codimension-Two Bifurcation in a Discrete Predator-Prey Model with Michaelis-Menten Type Predator Harvesting Term
摘要
Abstract
The bifurcation problem of a discrete predator-predator model with Michaelis-Menten type predator harvesting was studied.By using the central manifold theorem and bifurcation theory,the codimension-2 bifurcations associated with 1∶3 and 1∶4 resonances was discussed.The codimension bifurcation phenomenon of the model was given by numerical analysis,including the strong resonances(1∶3,1∶4).Through bifurcation diagrams and phase diagrams,it could be concluded that the model has limit cycles,periodic solutions,chaos and other dynamic behaviors.关键词
捕食者-食饵模型/Michaelis-Menten型捕食者收获/余维二分支/周期解/离散Key words
predator-prey model/Michaelis-Menten type predator harvesting/codimension-two bifurcation/periodic solution/discrete分类
生物科学引用本文复制引用
庞茹一,牛丽娟,张佩雪..具有Michaelis-Menten型捕食者收获项的离散捕食者-食饵模型的余维二分支[J].沈阳大学学报（自然科学版）,2025,37(2):178-188,11.基金项目
国家自然科学基金资助项目(12271421,11771373) （12271421,11771373）
陕西省科学技术协会青年人才基金资助项目(20200510). （20200510）
