On the qualitative analysis of fractional-order impulsive gene regulatory networks

Abstract

A class of fractional-order impulsive gene regulatory networks (GRNs) is intestigated. The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. Some qualitative properties of solutions such as stability and almost periodicity are studied and new criteria are established by the Lyapunov functions approach. The effects of time-varying delays and impulsive perturbations at fixed times on the almost periodicity are considered. Numerical example are also presented to justify our findings.