Abstract
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.
- Received 13 July 2022
- Accepted 4 January 2023
- Corrected 14 September 2023
DOI:https://doi.org/10.1103/PhysRevLett.130.058401
© 2023 American Physical Society
Physics Subject Headings (PhySH)
Corrections
14 September 2023
Correction: A sign error has been fixed in an inline equation in the last sentence after Eq. (8).