Bifurcation of Localized Disturbances in a Model Biochemical Reaction

摘要: Asymptotic solutions are presented to the nonlinear parabolic reaction-diffusion equations describing a model biochemical reaction proposed by I. Prigogine. There is uniform steady state which, for certain values of adjustable parameters, may be unstable. When solution slightly unstable, two-timing method used find bifurcation new small amplitude. These either nonuniform states or time-periodic solutions, depending on ratio diffusion coefficients. one parameters allowed depend space and basic it found that which approached show localized spatial oscillations. The localization arises out presence turning points in linearized stability equations.