密度制约的Holling Ⅲ型捕食动力系统极限环的存在惟一性

Existence and uniqueness of limit cycle for Holling's type Ⅲpredator-prey dynamic system with double density restriction

研究食饵与捕食者均具有线性密度制约的Holling型捕食动力系统.得到了正平衡点的全局稳定性和非小振幅极限环的存在惟一性的充分条件.

This paper studies the Holling＇s type Ⅲ predatorwhere the predator and prey both have linear density restriction. Th positive equilibrium, the existence and uniqueness of the non-small cycle are obtained by applying the methods of ordinary differential prey dynamic system, e global stability of the amplitude stable limit equations.