一类具有修正Leslie-Gower和Holling-type Ⅲ型的时滞食饵捕食模型的周期解与持久性

摘要

本文研究了一类具有修正的Leslie-Gower和Holling-type Ⅲ型时滞食饵捕食模型.运用重合度理论和比较定理,得到系统正周期解和持久性的充分条件.结论拓展和完善了已有的结论.最后,从例子可以看到结论是容易验证的.%In this paper,we study the delayed modified Leslie-Gower predator-prey model with Holling-type Ⅲ schemes.By applying the coincidence degree theorem and the comparison theorem,sufficient conditions for the existence of positive periodic solutions and permanence are obtained,which extend and complement the previously known result.Furthermore,examples show that the obtained criteria are easily verifiable.