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arXiv · 1612.02318

Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model

Jean-Sebastien Gagnon·David Hochberg·Juan Perez-Mercader
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Abstract

We characterize the influence that external noise, with both spatial and temporal correlations, has on the scale dependence of the reaction parameters of a cubic autocatalytic reaction diffusion (CARD) system. Interpreting the CARD model as a primitive reaction scheme for a living system, the results indicate that power-law correlations in environmental fluctuations can either decrease or increase the rates of nutrient decay and the rate of autocatalysis (replication) on small spatial and temporal scales.

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Jean-Sebastien Gagnon, David Hochberg, Juan Perez-Mercader. 2016-12-07. Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model. https://doi.org/10.1103/physreve.95.032106

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