Invading introduced species in insular heterogeneous environments

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 ordi...

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Bibliographic Details
Published in:Ecological Modelling
Main Authors: GAUCEL, S., LANGLAIS, Michel, PONTIER, Dominique
Format: Other/Unknown Material
Language:English
Published: Elsevier 2005
Subjects:
Finite time extinction
Spatial heterogeneities
Insular environment
Predator–prey system
Invasion and persistence
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Sciences du Vivant [q-bio]/Ecologie
Environnement
Kerguelen
antartic*
Online Access:https://oskar-bordeaux.fr/handle/20.500.12278/116905
https://doi.org/10.1016/j.ecolmodel.2005.05.008
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Summary: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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