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

Gagnon, Jean-Sébastien; Hochberg, David; Pérez-Mercader, Juan · Phys Rev E · 2017

basic_science · Level V

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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.