一类具功能反应的食饵-捕食者两种群模型的极限环的唯一性

The Uniqueness of a Limit Cycle for a Kind of Food with Functional Response-Two Group Types of Predators

考虑具有功能反应的食饵-捕食者两种群模型:x=x(a-bx(1/2)-h(x))-cyx(1/2),y=y(-d+ecx(1/2)).对该系统给出了完整的定性分析,证明了该系统极限环的存在与唯一性.

This paper introduces a kind of food with functional response-two group types of predators. Discusses the quality of the equilibrium in this system, and proves the existence and the uniqueness of the limit cycle in this system