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Invading introduced species in insular heterogeneous environments

S. Gaucel Michel Langlais 1, 2 Dominique Pontier 3
1 ANUBIS - Tools of automatic control for scientific computing, Models and Methods in Biomathematics
INRIA Futurs, Université Bordeaux Segalen - Bordeaux 2, Université Sciences et Technologies - Bordeaux 1
3 Ecoépidémiologie évolutionniste
Département écologie évolutive [LBBE]
Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00195443
Contributor : Michel Langlais <>
Submitted on : Monday, December 10, 2007 - 9:14:57 PM
Last modification on : Tuesday, July 20, 2021 - 5:20:06 PM

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S. Gaucel, Michel Langlais, Dominique Pontier. Invading introduced species in insular heterogeneous environments. Ecological Modelling, Elsevier, 2005, 188, pp.62-75. ⟨10.1016/j.ecolmodel.2005.05.008⟩. ⟨hal-00195443⟩

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