摘要
In this paper, we study the n-species biological systemwe get sufficient conditions for the existence of the invariant plane to system (1) whenm=1 and m = 2, we also get sufficient conditions for the eristence and stability ofthe heteroclinic cycle to system (1) when m = 1 and m = 2. In the case m = 1 andn = 3, we get conditions for the existence and stability of the heteroclinic cycle on theinvariant plane of system (1). In this case, we also prove that there is a center insidethe heteroclinic cycle and bounded by this heteroclinic cycle.
In this paper, we study the n-species biological systemwe get sufficient conditions for the existence of the invariant plane to system (1) whenm=1 and m = 2, we also get sufficient conditions for the eristence and stability ofthe heteroclinic cycle to system (1) when m = 1 and m = 2. In the case m = 1 andn = 3, we get conditions for the existence and stability of the heteroclinic cycle on theinvariant plane of system (1). In this case, we also prove that there is a center insidethe heteroclinic cycle and bounded by this heteroclinic cycle.
基金
This research is supported by NNSF of China.
