GAUCEL, S.; LANGLAIS, Michel; PONTIER, Dominique

doi:10.1016/j.ecolmodel.2005.05.008

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LANGLAIS, Michel
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]

PONTIER, Dominique
Ecoépidémiologie évolutionniste [LBBE]

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Ecological Modelling. 2005, vol. 188, p. 62-75

Elsevier

Résumé en anglais

We are concerned with the development and analysis of a predator–prey system designed for heterogeneous insular environments; populations are native preys exposed to introduced and invading predators and competitor preys. We first look at the unstructured model; this yields a singular system of ordinary differential equations having interesting dynamical features, such as finite time extinction or persistence of populations. Next we build a spatially heterogeneous structured model upon developing a reaction–diffusion system; then, using numerical experiments we analyze some typical effects of spatial heterogeneities on the persistence or extinction of native or introduced and invading species. The case of Kerguelen sub-Antartic heterogeneous islands where both domestic cats and alien preys have been introduced is taken as an example.< Réduire

Mots clés en anglais

Predator–prey system

Insular environment

Spatial heterogeneities

Finite time extinction

Invasion and persistence

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Invading introduced species in insular heterogeneous environments

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