摘要
本文研究了一类具有修正的Leslie-Gower和Holling-typeⅢ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.
出处
《数学杂志》
2018年第2期241-252,共12页
Journal of Mathematics
基金
Supported by the planning project in 2014 of Kaili University(Z1406)
2015 of Kaili University(Z1506)
关键词
HollingⅢ型反应函数
时滞
正周期解
持久性
重合度
Holling III type functional response
delays
positive periodic solution
perma-nence
coincidence degree
