The role of the delay time in the modeling of biological range expansions

  • Ortega-Cejas V
  • Fort J
  • Méndez V
  • 23


    Mendeley users who have this article in their library.
  • 34


    Citations of this article.


The time interval between successive migrations of biological species causes a delay time in the reaction-diffusion equations describing their space-time dynamics. This lowers the predicted speed of the waves of advance, as compared to classical models. It has been shown that this delay-time effect improves the modeling of human range expansions. Here, we demonstrate that it can also be important for other species. We present two new examples where the predictions of the time-delayed And the classical (Fisher) approaches are compared to experimental data. No free or adjustable parameters are used. We show that the importance of the delay effect depends on the dimensionless product of the initial growth rate and the delay time. We argue that the delay effect should be taken into account in the modeling of range expansions for biological species. [References: 23]

Author-supplied keywords

  • Carpodacus mexicanus
  • Delay time
  • Eurasian Collared-Dove
  • House Finch
  • Range expansions
  • Streptopelia decaocto
  • Wavefront speed

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Vicente Ortega-Cejas

  • Joaquim Fort

  • Vicenç Méndez

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free