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Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions

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Abstract

An idea used by Thieme (J. Math. Biol. 8, 173–187, 1979) is extended to show that a class of integro-difference models for a periodically varying habitat has a spreading speed and a formula for it, even when the recruitment function R(u, x) is not nondecreasing in u, so that overcompensation occurs. Numerical simulations illustrate the behavior of solutions of the recursion whose initial values vanish outside a bounded set.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA

    Hans F. Weinberger

  2. Faculty of Culture and Information Science, Doshisha University, Kyotonabe, 610-0321, Japan

    Kohkichi Kawasaki & Nanako Shigesada

Authors
  1. Hans F. Weinberger
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  2. Kohkichi Kawasaki
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  3. Nanako Shigesada
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Correspondence to Hans F. Weinberger.

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Weinberger, H.F., Kawasaki, K. & Shigesada, N. Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. J. Math. Biol. 57, 387–411 (2008). https://doi.org/10.1007/s00285-008-0168-0

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  • DOI: https://doi.org/10.1007/s00285-008-0168-0

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