文章基本信息

标题：Dynamical properties of a fractional reaction-diffusion trimolecular biochemical model with autocatalysis
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作者：Hongwei Yin ; Xiaoqing Wen
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：369
DOI：10.1186/s13662-017-1427-4
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a reaction-diffusion trimolecular biochemical model with autocatalysis and fractional-order derivative is proposed. We establish the existence and uniqueness of a positive solution to this system in a Besov space. Besides, for this system, we obtain stability, Hopf and Turing bifurcations and spatial patterns. These dynamic behaviors of this system are slightly different from those of its corresponding first-order system. The difference is illustrated by performing some numerical simulations, through which our main results are verified.
关键词：Caputo’s derivative ; reaction-diffusion trimolecular model ; Besov spaces ; spatial patterns ; Hopf and Turing bifurcations