考虑捕食者无密度制约，食饵具有非线性密度制约的第三类Ｈｏｌｌｉｎｇ功能性反应捕食者－食饵系统．对该系统给出了完整的定性分析，证明了该系统至多有一个极限环，存在极限环的充要条件是正平衡点不稳定．

Consider a class of Holing Ⅲ models with functional responses and prove that it has at most one limit cycle. The system exists a limit cycle if and only if the singular point in the first quadrant is unstable.