Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law

Abstract

The Selkov system, which is typically employed to model glycolysis phenomena, unveils some rich dynamics and some other complex formations in biochemical reactions. In the present work, the synchronization problem of the glycolysis reaction-diffusion model is handled and examined. In addition, a novel convenient control law is designed in a linear form and, on the other hand, the stability of the associated error system is demonstrated through utilizing a suitable Lyapunov function. To illustrate the applicability of the proposed schemes, several numerical simulations are performed in one- and two-spatial dimensions.

Keywords

• synchronization
• linear control
• asymptotic stability
• reaction-diffusion model
• lyapunov function
• Selkov system