具有时滞的Holling-II型捕食系统的Hopf分支

打开文本图片集

中图分类号：0175.26 文献标志码：A 文章编号：0253-2395（2025）04-0677-15

Abstract： Inthispaper，aHoling-I predator-preysystemwithtimedelayunderthehomogeneous Neumannboundaryconditions is studied.Firstlybyhoingthetiedlayasteifurcatioparameeedtefectoftiedelayotheabilityoftos tiveequilibrimpointofthesystem，therebythecondiionsforgeneratingHopfbifurcationsareobaied.Secondlywithteaidof partialfunctioaldieretialequatiosofentermanifoldtoryandstandardmethod，tediectionofteHopfbifurcatiosadsta bilityoferiodicsolutionsofabfurcationaregaied.Finall，byusingthumericalsimulationfunctionofMAABsoftwarete theoretical results proposed in the paper are tested.

Keywords：timedelay;existence;stability;numerical simulation

0 引言

在生物数学中，捕食-食饵模型具有重要的现实意义。（剩余12366字）