Affiliation:
1. College of Mathematics and Information Science Zhengzhou University of Light Industry Zhengzhou China
2. Henan Academy of Big Data Zhengzhou University Zhengzhou China
Abstract
This paper is devoted to the Schnakenberg model with crucial reversible reactions, under Neumann boundary conditions. Existence and uniqueness of the strong solution are obtained on basis of semigroup theory. It is found that the proposed system admits four possible positive constant steady states, and explicit conditions of the stability, Turing instability, steady‐state bifurcation, and Hopf bifurcation are determined. Besides, numerical simulations are given to show the theoretical results and depict the spatiotemporal patterns.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics