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

被引：2

作者：

Liu, Haicheng ^{[1
]}

Yuan, Wenshuo ^{[1
]}

Ge, Bin ^{[1
]}

Shen, Jihong ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Heilongjiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2024年 / 17卷 / 04期

关键词：

Sporns-Seelig model; diffusion; Hopf bifurcation; periodic solutions; Turing instability; LENGYEL-EPSTEIN SYSTEM; PREDATOR-PREY SYSTEM; CELLULAR CONTROL-MODELS; PATTERN-FORMATION; SPATIOTEMPORAL PATTERNS; NEGATIVE FEEDBACK; BEHAVIOR; DELAYS;

D O I：

10.1142/S1793524523500365

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页数：18

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