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NEW INSIGHTS ON BIFURCATION IN A FRACTIONAL-ORDER DELAYED COMPETITION AND COOPERATION MODEL OF TWO ENTERPRISES

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成果类型:
期刊论文
作者:
Xu, Changjin;Liao, Maoxin;Li, Peiluan;Yuan, Shuai
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
[Yuan, Shuai] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China.
语种:
英文
关键词:
Fractional order competition and cooperation model;enterprise;Hopf bifurcation;stability;delay
期刊:
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN:
2156-907X
年:
2021
卷:
11
期:
3
页码:
1240-1258
基金类别:
The authors were supported by National Natural Science Foundation of China (Nos. 61673008, 62062016) and Project of High-level Innovative Talents of Guizhou Province ([2016]5651) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology)(2018MMAEZD21) and Foundation of Science and Technology of Guizhou Province ([2019]1051). †The corresponding author. Email address:xcj403@126.com(C. Xu) 1Guizhou Key Laboratory of Economics System Simulation, Guizhou Univer-sity of Finance and Economics, Guiyang 550004, China 2School of Mathematics and Physics, University of South China, Hengyang 421001, China 3School of Mathematics and Statistics, Henan University of Science and Tech-nology, Luoyang 471023,China 4School of Mathematics and Statistics, Central South University, Changsha 410083, China ∗The authors were supported by National Natural Science Foundation of China (Nos. 61673008, 62062016) and Project of High-level Innovative Talents of Guizhou Province ([2016]5651) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engi-neering (Changsha University of Science & Technology)(2018MMAEZD21) and Foundation of Science and Technology of Guizhou Province ([2019]1051).
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
Over the past decades, many authors establish various kinds of competition and cooperation models of two enterprises to analyze the dynamic interaction. However, they are only concerned with integer-order differential equation models, while the reports on fractional-order ones are very rare. In this article, based on the earlier studies, we propose a new fractional-order delayed competition and cooperation model of two enterprises. Letting the delay be bifurcation parameter and analyzing the corresponding characteristic equation of involved mod...

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