Coexistence in a metapopulation model with explicit local dynamics
Many patch-based metapopulation models assume that the localpopulation within each patch is at its equilibrium and independent of changesin patch occupancy. We studied a metapopulation model that explicitly incorporates the local population dynamics of two competing species. The singularperturbation...
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| Language: | English |
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.131 |
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| _version_ | 1832590288508420096 |
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| author | Zhilan Feng Robert Swihart Yingfei Yi Huaiping Zhu |
| author_facet | Zhilan Feng Robert Swihart Yingfei Yi Huaiping Zhu |
| author_sort | Zhilan Feng |
| collection | DOAJ |
| description | Many patch-based metapopulation models assume that the localpopulation within each patch is at its equilibrium and independent of changesin patch occupancy. We studied a metapopulation model that explicitly incorporates the local population dynamics of two competing species. The singularperturbation method is used to separate the fast dynamics of the local competition and the slow process of patch colonization and extinction. Our resultsshow that the coupled system leads to more complex outcomes than simplepatch models which do not include explicit local dynamics. We also discussimplications of the model for ecological systems in fragmented landscapes. |
| format | Article |
| id | doaj-art-d2988fe8f0be4fbc8dec8aec4515c357 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d2988fe8f0be4fbc8dec8aec4515c3572025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-011113114510.3934/mbe.2004.1.131Coexistence in a metapopulation model with explicit local dynamicsZhilan Feng0Robert Swihart1Yingfei Yi2Huaiping Zhu3Department of Mathematics, Purdue University, West Lafayette, IN 47907Department of Forestry and Natural Resources, Purdue University, West Lafayette, IN 47907School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3Many patch-based metapopulation models assume that the localpopulation within each patch is at its equilibrium and independent of changesin patch occupancy. We studied a metapopulation model that explicitly incorporates the local population dynamics of two competing species. The singularperturbation method is used to separate the fast dynamics of the local competition and the slow process of patch colonization and extinction. Our resultsshow that the coupled system leads to more complex outcomes than simplepatch models which do not include explicit local dynamics. We also discussimplications of the model for ecological systems in fragmented landscapes.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.131extinctionsingular perturbation.patch colonizationlocal population dynamicsmetapopulation modelsfragmented landscapescompeting speciesecological systems |
| spellingShingle | Zhilan Feng Robert Swihart Yingfei Yi Huaiping Zhu Coexistence in a metapopulation model with explicit local dynamics Mathematical Biosciences and Engineering extinction singular perturbation. patch colonization local population dynamics metapopulation models fragmented landscapes competing species ecological systems |
| title | Coexistence in a metapopulation model with explicit local dynamics |
| title_full | Coexistence in a metapopulation model with explicit local dynamics |
| title_fullStr | Coexistence in a metapopulation model with explicit local dynamics |
| title_full_unstemmed | Coexistence in a metapopulation model with explicit local dynamics |
| title_short | Coexistence in a metapopulation model with explicit local dynamics |
| title_sort | coexistence in a metapopulation model with explicit local dynamics |
| topic | extinction singular perturbation. patch colonization local population dynamics metapopulation models fragmented landscapes competing species ecological systems |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.131 |
| work_keys_str_mv | AT zhilanfeng coexistenceinametapopulationmodelwithexplicitlocaldynamics AT robertswihart coexistenceinametapopulationmodelwithexplicitlocaldynamics AT yingfeiyi coexistenceinametapopulationmodelwithexplicitlocaldynamics AT huaipingzhu coexistenceinametapopulationmodelwithexplicitlocaldynamics |