Spreading speed and travelling wave solutions of a partially sedentary population

@inproceedings{Volkov2007SpreadingSA,
  title={Spreading speed and travelling wave solutions of a partially sedentary population},
  author={Darko Volkov and Roger Lui},
  year={2007}
}
In this paper, we extend the population genetics model of [5] to the case where a fraction of the population does not migrate after the selection process. Mathematically, we study the asymptotic behavior of solutions to the recursion un+1 = Qg[un] where Qg[u](x) = (1− g) ∫ R K(x− y)f(u(y))dy + gf(u(x)), 0 ≤ g ≤ 1 . In the above definition of Qg, K is a probability density function and f behaves qualitatively like the Beverton-Holt function. Under some appropriate conditions on K and f , we show… CONTINUE READING

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