Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model  

作　　者：Haicheng Liu Wenshuo Yuan Bin Ge Jihong Shen 

机构地区：[1]College of Mathematical Sciences Harbin Engineering University,Harbin 150001 Heilongjiang,P.R.China

出　　处：《International Journal of Biomathematics》2024年第4期133-150,共18页生物数学学报（英文版）

基　　金：supported by Scientific Research and Innovation Fund for PhD Student:Research on the bifurcation problems of diffusive oncolytic virotherapy system(No.3072022CFJ2401).

摘　　要：Aiming at the spatial pattern phenomenon in biochemical reactions,an enzyme-reaction Sporns-Seelig model with cross-diffusion is chosen as study object.Applying the central manifold theory,normal form method,local Hopf bifurcation theorem and perturbation theory,we study Turing instability of the spatially homogeneous Hopf bifurcation periodic solutions.At last,the theoretical results are verified by numerical simulations.

关 键 词：Sporns-Seelig model diffusion Hopf bifurcation periodic solutions Turing instability 

分 类 号：O17[理学—数学]