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


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-01

AUTHORS

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

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. More... »

PAGES

1-14

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s13042-017-0707-3

DOI

http://dx.doi.org/10.1007/s13042-017-0707-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091244582


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