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

作　　者：郑唯唯[1] 

机构地区：[1]西北纺织工学院数学教研室,西安710048

出　　处：《生物数学学报》2000年第3期292-295,共4页Journal of Biomathematics

摘　　要：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.

关 键 词：捕食-食铒模型 HOPF分支 分界线环 极限环 

分 类 号：Q141[生物学—生态学] O175.12[生物学—普通生物学]