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

Advances in Difference Equations

Kaihong Zhao¹  Yaping Ren² 

[1] Department of Applied Mathematics, Kunming University of Science and Technology, Yunnan, China;Department of Mathematics, Yunnan University of Finance and Economics, Yunnan, China

关键词: positive periodic solution;    Gilpin-Ayala ecological model;    discrete and distributed time delays;    strict-set-contraction;    34K13;    37N25;   

DOI  :  10.1186/s13662-017-1386-9

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY