Invading introduced species in insular heterogeneous environments
International audience 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...
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Language: | English |
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Online Access: | https://hal.science/hal-00195443 https://doi.org/10.1016/j.ecolmodel.2005.05.008 |
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ftunivlyon1:oai:HAL:hal-00195443v1 2024-06-23T07:48:04+00:00 Invading introduced species in insular heterogeneous environments Gaucel, S. Langlais, Michel Pontier, Dominique Tools of automatic control for scientific computing, Models and Methods in Biomathematics (ANUBIS) INRIA Futurs Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB) Institut de Mathématiques de Bordeaux (IMB) Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS) Ecoépidémiologie évolutionniste LBBE Département écologie évolutive LBBE Laboratoire de Biométrie et Biologie Evolutive - UMR 5558 (LBBE) Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire de Biométrie et Biologie Evolutive - UMR 5558 (LBBE) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS) 2005 https://hal.science/hal-00195443 https://doi.org/10.1016/j.ecolmodel.2005.05.008 en eng HAL CCSD Elsevier info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecolmodel.2005.05.008 hal-00195443 https://hal.science/hal-00195443 doi:10.1016/j.ecolmodel.2005.05.008 ISSN: 0304-3800 EISSN: 1872-7026 Ecological Modelling https://hal.science/hal-00195443 Ecological Modelling, 2005, 188, pp.62-75. ⟨10.1016/j.ecolmodel.2005.05.008⟩ Predator–prey system Insular environment Spatial heterogeneities Finite time extinction Invasion and persistence [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDV.EE]Life Sciences [q-bio]/Ecology environment info:eu-repo/semantics/article Journal articles 2005 ftunivlyon1 https://doi.org/10.1016/j.ecolmodel.2005.05.008 2024-05-27T14:42:37Z International audience 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. Article in Journal/Newspaper antartic* HAL Lyon 1 (University Claude Bernard Lyon 1) Kerguelen Ecological Modelling 188 1 62 75 |
institution |
Open Polar |
collection |
HAL Lyon 1 (University Claude Bernard Lyon 1) |
op_collection_id |
ftunivlyon1 |
language |
English |
topic |
Predator–prey system Insular environment Spatial heterogeneities Finite time extinction Invasion and persistence [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDV.EE]Life Sciences [q-bio]/Ecology environment |
spellingShingle |
Predator–prey system Insular environment Spatial heterogeneities Finite time extinction Invasion and persistence [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDV.EE]Life Sciences [q-bio]/Ecology environment Gaucel, S. Langlais, Michel Pontier, Dominique Invading introduced species in insular heterogeneous environments |
topic_facet |
Predator–prey system Insular environment Spatial heterogeneities Finite time extinction Invasion and persistence [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [SDV.EE]Life Sciences [q-bio]/Ecology environment |
description |
International audience 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. |
author2 |
Tools of automatic control for scientific computing, Models and Methods in Biomathematics (ANUBIS) INRIA Futurs Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB) Institut de Mathématiques de Bordeaux (IMB) Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS) Ecoépidémiologie évolutionniste LBBE Département écologie évolutive LBBE Laboratoire de Biométrie et Biologie Evolutive - UMR 5558 (LBBE) Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire de Biométrie et Biologie Evolutive - UMR 5558 (LBBE) Université de Lyon-Université de Lyon-VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement (VAS)-Centre National de la Recherche Scientifique (CNRS) |
format |
Article in Journal/Newspaper |
author |
Gaucel, S. Langlais, Michel Pontier, Dominique |
author_facet |
Gaucel, S. Langlais, Michel Pontier, Dominique |
author_sort |
Gaucel, S. |
title |
Invading introduced species in insular heterogeneous environments |
title_short |
Invading introduced species in insular heterogeneous environments |
title_full |
Invading introduced species in insular heterogeneous environments |
title_fullStr |
Invading introduced species in insular heterogeneous environments |
title_full_unstemmed |
Invading introduced species in insular heterogeneous environments |
title_sort |
invading introduced species in insular heterogeneous environments |
publisher |
HAL CCSD |
publishDate |
2005 |
url |
https://hal.science/hal-00195443 https://doi.org/10.1016/j.ecolmodel.2005.05.008 |
geographic |
Kerguelen |
geographic_facet |
Kerguelen |
genre |
antartic* |
genre_facet |
antartic* |
op_source |
ISSN: 0304-3800 EISSN: 1872-7026 Ecological Modelling https://hal.science/hal-00195443 Ecological Modelling, 2005, 188, pp.62-75. ⟨10.1016/j.ecolmodel.2005.05.008⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecolmodel.2005.05.008 hal-00195443 https://hal.science/hal-00195443 doi:10.1016/j.ecolmodel.2005.05.008 |
op_doi |
https://doi.org/10.1016/j.ecolmodel.2005.05.008 |
container_title |
Ecological Modelling |
container_volume |
188 |
container_issue |
1 |
container_start_page |
62 |
op_container_end_page |
75 |
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1802638476798066688 |