Pulsed interaction signals as a route to biological pattern formation

Colombo, Eduardo H.; Lopez, Cristobal; Hernandez-Garcia, Emilio
Submitted (2022)

We identify a mechanism for biological spatial pattern formation arising from the pulsed character
of the signals that mediate interactions between individuals in a population. 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 bridging the approaches and clarifying their scope.


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