摘要
研究了具有分布时滞和捕食者非密度制约的捕食-食饵系统的动力学性质.应用微分方程比较原理,叠合度定理和Lyapunov函数的方法,得到了捕食者种群的灭绝性以及系统正周期解的存在性和全局吸引性的充分条件.
A class of non-autonomous predator-prey system with predator density-independence and distributed delays is discussed.Some sufficient conditions on the extinction of the predator and existence and global attractivity of the positive periodic solution is established by using of comparison method,continuation theorem and the Lyapunov function method.
作者
阿卜杜杰力力·阿卜杜热合曼
艾合麦提·麦麦提阿吉
Abdujelil Abdurahman;Ahmadjan Muhammadhaji(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)
出处
《数学的实践与认识》
2021年第5期131-137,共7页
Mathematics in Practice and Theory
基金
新疆自然科学基金(2017D01C083)。
关键词
捕食-食饵系统
非密度制约
分布时滞
正周期解
全局吸引性
predator-prey system
density-independence
distributed delay positive periodic solution
global attractivity
