具功能反应的食饵与捕食者两种群模型的极限环

Limit Cycles of a Kind of Food with Functional Response-Two Group Types of Predators

研究了具功能反应的食饵与捕食者两种群模型:(d/dt+)讨论了该系统平衡点的性态,并证明了极限环的存在性与惟一性及其全局稳定性.

This paper introduces a kind of food with functional response two groups types of predators d x d t=x(θ 1+θ 2x-θ 3x 2-y), d y d t=y(-1+x).The quality of the balance point is discussed in this system, and the existence, the uniqueness and the global stability of the limit cycle are proved in this system.