Invading introduced species in insular heterogeneous environments |
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| Affiliation: | 1. UMR CNRS 5466, Mathématiques Appliquées de Bordeaux, Case 26, Université Victor Segalen Bordeaux 2, 146 Rue Léo Saignat, 33076 Bordeaux Cedex, France;2. UMR CNRS 5558, Biométrie et Biologie Evolutive, Université Claude Bernard Lyon 1, 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex, France;1. University of Nova Gorica, St. Ekvatornaya 15-116, Slovenia SI-5000;2. University of St. Andrews, Fife, UK;1. Université Paris Est, IMRB-GRC GEMINI, 94000 Créteil, France;2. Unité Court Séjour, Petits Nourrissons, Service de Néonatologie, Centre Hospitalier Intercommunal de Créteil, France;3. ACTIV, Association Clinique et Thérapeutique Infantile du Val de Marne, Saint-Maur des Fossés, France;4. Groupe de Pathologie Infectieuse Pédiatrique de la Société Française de Pédiatrie;5. Université Pierre & Marie Curie, Paris 6, France;6. Service de pédiatrie générale et aval des urgences, hôpital Armand-Trousseau, Paris, France;1. IIIA, Institut d''Investigació en Intel·ligència Artificial, CSIC, Consejo Superior de Investigaciones Científicas, Campus UAB s/n, 08193 Bellaterra, Spain;2. DEIC, Dep. Enginyeria de la Informació i de les Comunicacions, UAB, Universitat Autònoma de Barcelona, Campus UAB s/n, 08193 Bellaterra, Spain;3. UAB, Universitat Autònoma de Barcelona, Campus UAB s/n, 08193 Bellaterra, Spain;4. School of Informatics, University of Skövde, 54128 Skövde, Sweden;1. State Key Lab Automotive Safety & Energy, Tsinghua University, Beijing 100084, China;2. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;3. Mécanique Numérique - CTEU/PM/SIM/ER, Centre de Technologies Michelin, 63040 Clermont-Ferrand, Cedex 9, France;4. Institute for Structural Analysis, Technische Universität Dresden, Dresden, Germany;1. Service d’Otorhinolaryngologie, Université Paris-Centre, Hôpital Européen Georges-Pompidou, AP–HP, 20–40, rue Leblanc, 75015 Paris, France;2. Service de Pédiatrie, Université Paris-Est, Centre Hospitalier Intercommunal, 40, avenue de Verdun, 94000 Créteil, France;3. Service d’Otorhinolaryngologie, Université Paris-Centre, Hôpital Necker–Enfants malades, AP–HP, 149, rue de Sèvres, 75015 Paris, France |
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| 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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