Dynamical properties of a fractional reaction-diffusion trimolecular biochemical model with autocatalysis
作者： Hongwei Yin , Xiaoqing Wen
DOI: 10.1186/S13662-017-1427-4
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摘要: In this paper, a reaction-diffusion trimolecular biochemical model with autocatalysis and fractional-order derivative is proposed. We establish the existence uniqueness of positive solution to system in Besov space. Besides, for system, we obtain stability, Hopf Turing bifurcations spatial patterns. These dynamic behaviors are slightly different from those its corresponding first-order system. The difference illustrated by performing some numerical simulations, through which our main results verified.
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