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n种群Gilpin-Ayala型竞争系统的全局渐近稳定性

Global asymptotic stability of n-species Gilpin-Ayala competition systems
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摘要 研究了一类连续型时滞与离散型变时滞的非自治n种群Gilpin-Ayala型竞争系统,分别利用比较原理和构造Lyapunov函数得到了系统持久生存与全局渐近稳定性的充分条件,通过数值举例验证了定理的可行性。 In this paper, a class of nonautonomous n species Gilpin-Ayala competition system with continuous delays and discrete varying delays is studied, respectively, the sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using the comparison theorem and constructing a suitable Lyapunov functional, theorems are realized by giving a numerical example.
出处 《计算机工程与应用》 CSCD 北大核心 2016年第11期22-25,共4页 Computer Engineering and Applications
基金 张家口市科学技术和地震局项目(No.12110034C-2) 河北北方学院自然科学研究项目青年基金(No.Q201104)
关键词 时滞 Gilpin-Ayala型竞争系统 LYAPUNOV函数 持久生存 全局渐近稳定性 delay Gilpin-Ayala competition system Lyapunov function permanence global asymptotic stability
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参考文献15

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