Bifurcation analysis of a fractional order gene regulatory network with multiple delays

In this paper, a fractional order gene regulatory network with leakage delays is considered. Multiple time delays are firstly unified to investigate the local asympototical stability of the network, through analyzing its characteristic equation. Adequate conditions for the existence of Hopf bifurcation are then constructed when the leakage delay parameter passes through some critical value. Finally, numerical simulation examples are illustrated to support the theoretical results.