Bifurcations of codimension 4 in a Leslie-type predator-prey model with Allee effects

发布者:刘茜茜发布时间:2026-04-17浏览次数:10

江苏省应用数学(中国矿业大学)中心系列学术报告


报告题目Bifurcations of codimension 4 in a Leslie-type predator-prey model with Allee effects

人:向创 讲师 南京师范大学

报告时间:2026419日(周日) 10:00-11:00

报告地点:腾讯会议 319 190 414

摘 要:In this talk, we consider a Leslie-type predator-prey model with simplified Holling IV functional response and Allee effects in prey. It is shown that the model can undergo a sequence of bifurcations of codimension four as the parameters vary. Moreover, strong Allee effects (M>0) (or ‘transitional Allee effects’ (M=0) with large predation rates) can cause the coextinction of both populations with some positive initial densities, while weak Allee effects (M<0) (or transitional Allee effects with small predation rates) make both populations with positive initial densities persist.