摘要
研究了非自治两个企业竞争与合作动力学模型的动力学行为.首先利用微分方程比较原理得到了模型的有界性、持久性和灭绝性的充分条件.然后通过构造Lyapunov函数得到了模型的全局吸引性的充分条件.最后针对所得到的理论结果给出了例子和数值模拟.
This paper studies a class of non-autonomous competition and cooperation dynamical model of two enterprises.Firstly,we obtain some sufficient conditions on the boundedness,permanence,extinction of the model by using the comparison method.Secondly,we obtain some sufficient conditions on the global attractivity of the system by means of the construction of Lyapunov functional.Finally,a numerical simulation is given to verify the effectiveness of the obtained results.
作者
艾合麦提·麦麦提阿吉
穆沙江·努热吉
MUHAMMADHAJI Ahmadjan;NUREJI Mushajiang(College of Mathematics and System Sciences,Xinjiang University,Urumqi,Xinjiang 830046,China;School of International of Economics and Trade,Xinjiang University of Finance and Economics,Urumqi,Xinjiang 830013,China)
出处
《经济数学》
2019年第4期94-98,共5页
Journal of Quantitative Economics
基金
国家自然科学基金项目(11601464,11861063)
教育部人文社会科学研究青年基金项目(19XJJC790001)
关键词
竞争与合作模型
有界性
持久性
灭绝性
全局吸引性
competition and cooperation model
boundedness
permanence
extinction
global attractivity
