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.
出处
《生物数学学报》
CSCD
2000年第3期292-295,共4页
Journal of Biomathematics
关键词
捕食-食铒模型
HOPF分支
分界线环
极限环
Predator-prey system
Hopf bifurcation
Homoclinic bifurcation
Limit cycle