Fig. 1: Schematic illustration of reaction-diffusion processes characterized by different time scales as captured by our model. | Communications Physics

Fig. 1: Schematic illustration of reaction-diffusion processes characterized by different time scales as captured by our model.

From: Critical behavior in interdependent spatial spreading processes with distinct characteristic time scales

Fig. 1

The agents are represented with dots whose colors indicate their state with respect to the disease. The big circles represent different spatial patches and the probability of going from patch j to i is represented with the black arrows and encoded in the matrix element \({{\mathcal{P}}}_{ij}\). The agents can either move around in the network, and in that case they are represented along the arrows outside the spatial patches, or stay where they are and undergo one of two epidemiological “reactionsˮ: infection or recovery. The infections are represented with the transformations with red arrows, while for the recoveries we used blue arrows. Finally according to the time scale separation parameter ϵ we can distinguish two regimes of this model: in (a) ϵ > 1, so reaction events are more frequent that diffusive ones while in (b) ϵ < 1, so the opposite is true.

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