Homogenization and influence of fragmentation in a biological invasion model - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2009

Homogenization and influence of fragmentation in a biological invasion model

Résumé

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.

Dates et versions

hal-02662379 , version 1 (31-05-2020)

Identifiants

Citer

Mohammad El Smaily, François Hamel, Lionel Roques. Homogenization and influence of fragmentation in a biological invasion model. Discrete and Continuous Dynamical Systems - Series A, 2009, 25 (1), pp.321 - 342. ⟨10.3934/dcds.2009.25.321⟩. ⟨hal-02662379⟩
15 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More