Stability and bifurcations in fractional-order gene regulatory networks
作者：
Highlights：
• Stability properties of fractional order gene regulatory networks are investigated.
• For cyclic GRNs, stability conditions on parameters and fractional order are found.
• Hopf bifurcations are discussed with respect to the fractional order in cyclic GRN.
• Persistent oscillations can be seen in cyclic GRNs with odd number of repressors.
• Numerical simulations also reveal period doubling bifurcations of limit cycles.
摘要
•Stability properties of fractional order gene regulatory networks are investigated.•For cyclic GRNs, stability conditions on parameters and fractional order are found.•Hopf bifurcations are discussed with respect to the fractional order in cyclic GRN.•Persistent oscillations can be seen in cyclic GRNs with odd number of repressors.•Numerical simulations also reveal period doubling bifurcations of limit cycles.
论文关键词：Gene regulatory network,Asymptotic stability,Hopf bifurcation,Period doubling,Oscillatory behavior,Fractional-order differential equations,Caputo derivative
论文评审过程：Received 27 May 2021, Revised 29 December 2021, Accepted 2 January 2022, Available online 13 January 2022, Version of Record 13 January 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126916
