Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 25, Issue 1, Pages 321-342Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2009.25.321
Keywords
Homogenization; fragmentation; reaction-diffusion model; pulsating fronts
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Funding
- Agence Nationale de la Recherche
- Alexander von Humboldt Foundation
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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.
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