Bifurcation control for a fractional-order competition model of Internet with delays
作者：
Xu, Changjin*;Liao, Maoxin;Li, Peiluan
期刊：
Nonlinear Dynamics,2019年95(4):3335-3356 ISSN：0924-090X
通讯作者：
Xu, Changjin
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.
通讯机构：
[Xu, Changjin] G;Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
关键词：
Bifurcation control;Competitive web site model;Internet;Stability;Hopf bifurcation;Fractional order;Delay
摘要：
In today’s society, the Internet has become an important tool of our life due to its potential applications in various areas such as economics, industry, agriculture, medical and health care, and information processing. To understand and grasp the law of the Internet, many competitive web site models of the Internet and some phenomena related to World Wide Web have been investigated systematically. However, many scholars only study the integer-order competitive web site models of the Internet. Up to now, there are few papers that focus on the dynamics of fractional-order competitive web site models of Internet, which possess memory property. In this paper, we are concerned with the stability and the existence of Hopf bifurcation of a fractional-order competitive web site model of Internet. By choosing the time delay as parameter and applying the Routh–Hurwitz criteria, we will establish a new sufficient condition guaranteeing the stability and the existence of Hopf bifurcation for fractional-order competitive web site model of Internet. The research reveals that fractional order and the delay play a key role in describing the stability and Hopf bifurcation of the considered system. Computer simulations are implemented to support the analytic results. Finally, a simple conclusion is presented. The theoretical findings of this article have a great significance in handling the competition dynamics among different web sites. © 2019, Springer Nature B.V.
语种：
英文
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A model for Influence of Nuclear-Electricity Industry on Area Economy
作者：
Ouyang, Zigen*;Wang, Hui
期刊：
Mathematical Problems in Engineering,2014年2014(1-2):1-7 ISSN：1024-123X
通讯作者：
Ouyang, Zigen
作者机构：
[Wang, Hui; Ouyang, Zigen] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Ouyang, Zigen] N;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Engineering;Mathematical techniques;Approximation conditions;Existence conditions;Electric industry
摘要：
A model for Influence of Nuclear-Electricity Industry on Area Economy is established in this paper; we obtain an existence condition of solutions. Further, the approximation conditions are also constructed; the economic aggregate will tends to the equilibriums point as time tend to infinity. © 2014 Zigen Ouyang and Hui Wang.
语种：
英文
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