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International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 1/2019

19-08-2017 | Original Article

Bifurcation control in the delayed fractional competitive web-site model with incommensurate-order

Authors: Lingzhi Zhao, Jinde Cao, Chengdai Huang, Min Xiao, Ahmed Alsaedi, Bashir Ahmad

Published in: International Journal of Machine Learning and Cybernetics | Issue 1/2019

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Abstract

The delayed competitive web-site system with incommensurate fractional orders, based on the Lotka–Volterra competition model, is firstly proposed in this paper. It is demonstrated that there is a stability switch for time delay, Hopf bifurcation occurs when time delay crosses through a critical value and each order has important influence on the creation of bifurcation. Furthermore, a nonlinear delayed feedback control is successfully designed to postpone the onset of Hopf bifurcation, extend the stability domain, and then the system possesses the stability in a larger parameter range. Finally, numerical simulations are included to illustrate the efficiency of the obtained theoretical results.
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Appendix
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Metadata
Title
Bifurcation control in the delayed fractional competitive web-site model with incommensurate-order
Authors
Lingzhi Zhao
Jinde Cao
Chengdai Huang
Min Xiao
Ahmed Alsaedi
Bashir Ahmad
Publication date
19-08-2017
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 1/2019
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-017-0707-3

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