物理化学学报 >> 1997, Vol. 13 >> Issue (05): 466-472.doi: 10.3866/PKU.WHXB19970516

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糖酵解模型双曲型反应-扩散方程的非线性行为

龚玉斌   

  1. 烟台师范大学物理系，山东 264025
  • 收稿日期:1996-09-16 修回日期:1996-12-23 发布日期:1997-05-15
  • 通讯作者: 龚玉斌

Nonlinear Behavior of the Hyperbolic reaction-Diffusion Equation for Glycolysis Model

Gong Yu-Bin   

  1. Department of Physics,Yantai Teachers University,Shandong 264025
  • Received:1996-09-16 Revised:1996-12-23 Published:1997-05-15
  • Contact: Gong Yu-Bin

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关键词: 糖酵解反应模型, 双曲型反应-扩散方程, 非线性

Abstract:

The Stability and chemical oscillation of the hyperbolic reaction-diffusion equations for glycolysis model are studied and compared with that of the corresponding parabolic equations. The results show that the parabolic equation is the limiting case of the hyperbolic system when the reaction-diffusion number Nrd →∞, and that the divergence of the wave speed, which exists in the parabolic system, does not appear in the hyperbolic one. The stabilities of these two systems are significantly different. The hyperbolic system may exist in chaos state under certain conditions. It is shown that the hyperbolic system is more suitatle to be used as the model for studying chemical oscillations.

Key words: Glycolysis model, Hyperbolic(parabolic) reaction-diffusion equation, Nonlinearity