Homogenization and influence of fragmentation in a biological invasion model

Details Homogenization and influence of fragmentation in a biological invasion model Homogenization and influence of fragmentation in a biological invasion model

2009-07-28

arxiv.org/abs/0907.4951v1

DCDS-A, (2009), 25, pp. 321-342

Mathematics

Analysis of PDEs

Dedicated to Professor Masayasu Mimura for his 65th birthday

Scientific paper

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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