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Differential Flow Induced Chemical Instability and Spatio-temporal Structure for Selkov (Glycolysis) Model
Gong Yubing,Xü Qiang
Author NameAffiliation
Gong Yubing Department of Physics, Yantai Teachers University, Yantai 264025 
Xü Qiang Department of Physics, Yantai Teachers University, Yantai 264025 
Abstract:
Differential flow type reaction-diffusion equation for Selkov model is developed and the stability for uniform steady state is theoretically studied. The results show that there is convective instability when the flow rate φof auto catalyst B is greater than the critical value φc(φ>φc). Numerical simulations obtain the spatio-temporal structure of B in different time t and at different flow rate , respectively, which shows some special features, meanwhile the convective instability is also conformed.
Key words:  Selkov model, Reaction-diffusion equation, Different flow induced chemical instability, Chemical oscillation and wave
FundProject:山东省自然科学基金资助项目
糖酵解模型差速流动引起的不稳定性和时空结构
龚玉兵,徐强
摘要:
建立了糖酵解模型(Selkov模型)差速流动型反应扩散方程,理论研究了均匀定态的稳定性,结果表明,当自催化物B的流速大于临界值φc时,系统存在运流不稳定性(Convective instability);数值模拟分别得到了B在不同时刻和不同流速φ下的时空结构,显示了一些特殊性质,同时也证实了运流不稳定性的存在。
关键词:  Selkov模型  反应扩散方程  差速流动引起化学不稳定  化学振荡和化学波
DOI:10.1088/1674-0068/14/2/181-186
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