Homogenization and influence of fragmentation in a biological invasion model
Mohammad El Smaily - Department of Mathematics, University of British Columbia and Pacific Institute for the Mathematical Sciences, 1984 Mathematics Road, V6T 1Z2, Vancouver, BC, Canada (email)
Abstract: In this paper, some properties of the minimal speeds of pulsating Fisher-KPP fronts in periodic environments are established. The limit of the speeds at the homogenization limit is proved rigorously. Near this limit, generically, the fronts move faster when the spatial period is enlarged, but the speeds vary only at the second order. The dependence of the speeds on habitat fragmentation is also analyzed in the case of the patch model.
Keywords: Homogenization, fragmentation, reaction-diffusion model, pulsating fronts.
Received: July 2007; Revised: May 2008; Available Online: June 2009.
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