具有稀疏效应的Predator-Prey模型的分支问题

Bifurcation of a Predator--Prey Model with Undercrowding Effect

讨论了具有稀疏效应的捕食－食饵模型的分支问题，并利用Ｈｏｐｆ分支理论和分界线环分支理论。

The Hopf bifurcation problem of a predator-prey model with undercrowding effect is considered. We have attained the model possessing at least two or three limit cycles under distinct parametic conditions by the Hopf bifurcation theorem. And we have the same conclusion by the homoclinlc bifurcation theorem.