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Abstract In this paper, a fractional genetic regulatory network with diffusion is proposed and several dynamic behaviors are investigated. The local stability and instability without and with diffusion are studied,… Click to show full abstract
Abstract In this paper, a fractional genetic regulatory network with diffusion is proposed and several dynamic behaviors are investigated. The local stability and instability without and with diffusion are studied, respectively. The criteria for the instability with diffusion are obtained on the biological parameter and spatial parameter. Numerical simulations are given to illustrate the theoretical results and also show the effect of the fractional order on the stability and oscillations. Spatially inhomogeneous steady states which do not arise in corresponding integral-order diffusive model are found.
Journal Title: IFAC-PapersOnLine
Year Published: 2017
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