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Lag-driven motion in front propagation

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  • Amor, Daniel R.
  • Fort, Joaquim

Abstract

Front propagation is a ubiquitous phenomenon. It arises in physical, biological and cross-disciplinary systems as diverse as flame propagation, superconductors, virus infections, cancer spread or transitions in human prehistory. Here we derive a single, approximate front speed from three rather different time-delayed reaction–diffusion models, suggesting a general law. According to our approximate speed, fronts are crucially driven by the lag times (periods during which individuals or particles do not move). Rather surprisingly, the approximate speed is able to explain the observed spread rates of completely different biophysical systems such as virus infections, the Neolithic transition in Europe, and postglacial tree recolonizations.

Suggested Citation

  • Amor, Daniel R. & Fort, Joaquim, 2013. "Lag-driven motion in front propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4946-4955.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:4946-4955
    DOI: 10.1016/j.physa.2013.06.058
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    References listed on IDEAS

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    1. Ran Nathan & Gabriel G. Katul & Henry S. Horn & Suvi M. Thomas & Ram Oren & Roni Avissar & Stephen W. Pacala & Simon A. Levin, 2002. "Mechanisms of long-distance dispersal of seeds by wind," Nature, Nature, vol. 418(6896), pages 409-413, July.
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    1. Amor, Daniel R. & Fort, Joaquim, 2014. "Cohabitation reaction–diffusion model for virus focal infections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 611-619.

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