Uniform persistence and periodic solutions for a discrete predator–prey system with delays☆
Uniform persistence and periodic solutions for a discrete predator–prey system with delays☆
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DOI：
10.1016/j.jmaa.2005.04.036
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发表时间：
2006-04
影响因子：
1.3
通讯作者：
Xitao Yang
中科院分区：
文献类型：
--
作者：
Xitao Yang
本文研究了一类离散时滞捕食-食饵系统。首先给出了系统一致持续生存的一个充分条件。假设系统的系数是周期的，将Yoshizawa关于常微分方程周期解存在性的定理推广到时滞差分方程，得到了基于一致持久性结果的周期解的存在性.
In this paper, we deal with a discrete predator–prey system with delay. We first give a sufficient condition for the uniform persistence of the system. Assuming that the coefficients in the system are periodic, by generalizing the Yoshizawa's theorem on the existence of periodic solution for ordinary differential equations to the difference equations with delays, we obtain the existence of a periodic solution basing on the uniform persistence result.