an:06251146
Zbl 1284.35452
Wu, Jianhua; Ma, Cui; Guo, Gaihui
The effect of interaction ratio in a chemical reaction
EN
IMA J. Appl. Math. 78, No. 6, 1265-1289 (2013).
00327680
2013
j
35Q92 92E20 35K57 37J15 35P99 34B09 35B32
double eigenvalue; steady-state bifurcation; Hopf bifurcation; simulation
Summary: This paper is concerned with the effect of interaction ratio in a chemical reaction with zero-flux boundary condition. Treating the interaction ratio \(\gamma \) 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.