Dynamics of periodic solutions in the reaction-diffusion glycolysis model: Mathematical mechanisms of Turing pattern formation

作者：

Highlights：

• A diffusion rate formula is established to determine Turing instability of the periodic solutions of the system.

• We prove that cross-diffusion destroys the stable spatially homogeneous periodic solutions for the diffusive glycolysis system.

• By numerical simulations, we verify that Turing instability of periodic solutions is really induced by cross- diffusion.

摘要

•A diffusion rate formula is established to determine Turing instability of the periodic solutions of the system.•We prove that cross-diffusion destroys the stable spatially homogeneous periodic solutions for the diffusive glycolysis system.•By numerical simulations, we verify that Turing instability of periodic solutions is really induced by cross- diffusion.

论文关键词：Glycolysis Sel’kov system,Cross-diffusion,Periodic solutions,Turing instability,Hopf bifurcation

论文评审过程：Received 18 February 2022, Revised 24 May 2022, Accepted 10 June 2022, Available online 19 June 2022, Version of Record 19 June 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127324