Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models.

  title={Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models.},
  author={Jonathan A. Sherratt and Matthew Joseph Smith},
  journal={Journal of the Royal Society, Interface},
  volume={5 22},
Periodic travelling waves have been reported in a number of recent spatio-temporal field studies of populations undergoing multi-year cycles. Mathematical modelling has a major role to play in understanding these results and informing future empirical studies. We review the relevant field data and summarize the statistical methods used to detect periodic waves. We then discuss the mathematical theory of periodic travelling waves in oscillatory reaction-diffusion equations. We describe the… CONTINUE READING
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