Display Abstract

Title The effect of interaction ratio in a chemical reaction

Name Jianhua Wu
Country Peoples Rep of China
Email jianhuaw@snnu.edu.cn
Co-Author(s) Jianhua Wu, Cui Ma and Gaihui Guo
Submit Time 2014-02-24 21:42:18
Session
Special Session 93: Partial differential equations arising from biology and physics
Contents
This paper is concerned with the effect of interaction ratio in a chemical reaction with zero-flux boundary condition. Treating the interaction ratio as a parameter, the existence of non-constant positive steady states is discussed by the bifurcation theory. Especially, the steady-state bifurcation from the double eigenvalue is derived. The Hopf bifurcation analysis to both ordinary differential equations and partial differential equations systems is investigated in detail. Examples of numerical simulations are shown to support and complement the analytical conclusions.