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具有双时滞偏利模型的稳定性分析

Stability of Partial Profit Model with Double Time Delays
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摘要 主要研究了带有时滞的种群偏利合作模型.首先通过Hurwitz准则得到正平衡点及边界平衡点的局部稳定性条件,然后构造合适的Lyapunov函数给出了正平衡点及边界平衡点的全局稳定性的充分条件.可以看到局部稳定性的充分条件同样也是全局稳定性的充分条件,这一结果补充完善了一些已有的结果. In this paper,we mainly study the partial profit model with time delay.The local stability of the positive equilibrium point and the boundary equilibrium point is obtained by the Hurwitz criterion and the sufficient conditions for the global stability are given by constructing a suitable Lyapunov function.It can be seen that the sufficient conditions of the local stability are also a sufficient conditions for the global stability.This results have been added to improve some of the existing results.
作者 姜永胜 冀桂琳 徐加波 葛清 JIANG Yong-sheng;JI Gui-lin;XU Jia-bol;GE Qing(Department of Basis Teaching,Xinjiang Engineering Institute,Urumchi 830091,China;College of Mathematics and Science,Xinjiang Agricultural University,Urumchi 830052,China)
机构地区 新疆工程学院公共基础学院 新疆农业大学数理学院
出处 《数学的实践与认识》 北大核心 2019年第21期213-218,共6页 Mathematics in Practice and Theory
基金 新疆人才培养项目“天山英才计划项目”(2018xgytsyc2-7)
关键词 偏利 Hurwitz准则 LYAPUNOV函数 稳定性 partial profit Hurwitz criterion Lyapunov function stability
分类号 O17 [理学—基础数学]
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数学的实践与认识
2019年 第21期

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