Homogenization and influence of fragmentation in a biological invasion model | Zendy

Mohammad El Smaily | Zendy; François Hamel | Zendy; Lionel Roques | Zendy

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Homogenization and influence of fragmentation in a biological invasion model

Author(s) -

Mohammad El Smaily,

François Hamel,

Lionel Roques

Publication year - 2009

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2009.25.321

Subject(s) - homogenization (climate) , fragmentation (computing) , limit (mathematics) , mathematics , mechanics , statistical physics , physics , mathematical analysis , environmental science , biology , ecology , biodiversity

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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