Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays

被引：0
|
作者：
Kaihong Zhao
Yaping Ren
机构：
[1] Kunming University of Science and Technology,Department of Applied Mathematics
[2] Yunnan University of Finance and Economics,Department of Mathematics
来源：
Advances in Difference Equations | / 2017卷
关键词：
positive periodic solution; Gilpin-Ayala ecological model; discrete and distributed time delays; strict-set-contraction; 34K13; 37N25;
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摘要：
In this paper, we deal with a class of Gilpin-Ayala ecological models with discrete and distributed time delays. By employing a fixed point theorem of strict-set-contraction and inequality techniques, some sufficient conditions for the existence of periodic solutions are established. As an application, one example is given to illustrate the validity of our main results.
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