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

Jean-Sebastien Gagnon, David Hochberg, Juan Perez-Mercader. 2017. Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model. Physical Review E 95, 3, DOI: 10.1103/PhysRevE.95.032106

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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