Long-range dispersal, stochasticity and the broken accelerating wave of advance.

  title={Long-range dispersal, stochasticity and the broken accelerating wave of advance.},
  author={Guy S Jacobs and Timothy J. Sluckin},
  journal={Theoretical population biology},
Rare long distance dispersal events are thought to have a disproportionate impact on the spread of invasive species. Modelling using integrodifference equations suggests that, when long distance contacts are represented by a fat-tailed dispersal kernel, an accelerating wave of advance can ensue. Invasions spreading in this manner could have particularly dramatic effects. Recently, various authors have suggested that demographic stochasticity disrupts wave acceleration. Integrodifference models… CONTINUE READING
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