摘要
考查了一类带Hollingtype IV功能反应的捕食与被捕食系统的分支 ,包括鞍结点分支 ,Hopf分支 ,同宿分支 ,以及尖点型的余维
In this paper, a predator prey system with Holling type IV functional response:p(x)=xa+bx+x 2 is considered. Bifurcations analysis of the mode is carried out as b>0. The bifurcation analysis of the model depending on all parameters indicates that it exhibits numerous kinds of bifurcation phenomena including the saddle node bifurcation, the Hopf bifurcation and the homoclinic bifurcation etc. In the generic case, the model has the cusp bifurcation of codimension 2 (i.e. Bogdanov Takens bifurcation).
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第1期3-10,共8页
Journal of Central China Normal University：Natural Sciences
基金
TheresearchwassupportedbyNNSFC(10 0 70 2 7)
