摘要
本文研究生态学中具有稀疏效应的Lotka—Volterra系统的分支问题。在部分参数条件下,讨论了系统的全局结构。并利用Hopf分支理论,分界线环分支理论得到了在不同的参数条件下,至少存在两个和三个极限环线的结论。
This paper discusses the branching problems of the Lotka-Volterra system with thinning effect in mathematical ecology. The total structure of the system in some parameters is probed. There exist at least 2 or 3 limit rings in different parameter conditions,which is concluded by applying the Hopf branch theory and the bordering ring branch theory.
