Pulsed interaction signals as a route to biological pattern formation

Colombo, Eduardo H.; Lopez, Cristobal; Hernandez-Garcia, Emilio
Physical Review Letters 130, 058401 (1-5) (2023)

We identify a mechanism for biological spatial pattern formation arising when the signals that mediate interactions between individuals in a population have pulsed character. Our general population-signal framework shows that while for a slow signal-dynamics limit no pattern formation is observed for any values of the model parameters, for a fast limit, on the contrary, pattern formation can occur. Furthermore, at these limits, our framework reduces, respectively, to reaction-diffusion and spatially nonlocal models, thus bridging these approaches.

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