一类具功能性反应的食饵—捕食者两种群模型的定性分析

In this paper,a class of two species predator-prey model with funcrional response is studied. By using stability methods,when the given parameter meets certain conditions,the stability of equilibrium is discussed.The sufficient condition for inexistence of the limited ring is gor by using the method of Dulac function.The existence and uniqueness of the limit cycle are proved by applying Poincare-Bendixson Theoroem and Zhang Zhifen’s Uniqueness Theoroem.