Abstract This paper proposes a mathematical model of gene networks, which includes the fractional derivative and delays. We obtain the conditions of the stability and Hopf bifurcation, and find that a Hopf bifurcation occurs when the sum of delays crosses the critical value, which can be calculated exactly. The fractional order can be used to effectively control the dynamics of such fractional-order model, and the stability domain can be changed by manipulated the order. Finally, a numerical example is presented to demonstrate the theoretical analysis.
Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
2017-01-01
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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