Density-dependent dispersal in multiple species metapopulations
A multiple species metapopulations model with density-dependent dispersal is presented. Assuming the network configuration matrix to be diagonizable we obtain a decoupling of the associated perturbed system from the homogeneous state. It was possible to analyze in detail the instability induced by t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.843 |
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| _version_ | 1832590172040986624 |
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| author | Jacques A. L. Silva Flávia T. Giordani |
| author_facet | Jacques A. L. Silva Flávia T. Giordani |
| author_sort | Jacques A. L. Silva |
| collection | DOAJ |
| description | A multiple species metapopulations model with density-dependent dispersal is presented. Assuming the network configuration matrix to be diagonizable we obtain a decoupling of the associated perturbed system from the homogeneous state. It was possible to analyze in detail the instability induced by the density-dependent dispersal in two classes of $k$-species interaction models: a hierarchically organized competitive system and an age-structured model. |
| format | Article |
| id | doaj-art-23ec7463330b4a4f86c553e439f7fdc4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-23ec7463330b4a4f86c553e439f7fdc42025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015484385710.3934/mbe.2008.5.843Density-dependent dispersal in multiple species metapopulationsJacques A. L. Silva0Flávia T. Giordani1Depto. de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul, Av. Bento Gon¸calves, 9500. Bairro Agronomia, Porto Alegre, RSDepto. de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul, Av. Bento Gon¸calves, 9500. Bairro Agronomia, Porto Alegre, RSA multiple species metapopulations model with density-dependent dispersal is presented. Assuming the network configuration matrix to be diagonizable we obtain a decoupling of the associated perturbed system from the homogeneous state. It was possible to analyze in detail the instability induced by the density-dependent dispersal in two classes of $k$-species interaction models: a hierarchically organized competitive system and an age-structured model.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.843multiple speciesdensity-dependent migrationmetapopulation |
| spellingShingle | Jacques A. L. Silva Flávia T. Giordani Density-dependent dispersal in multiple species metapopulations Mathematical Biosciences and Engineering multiple species density-dependent migration metapopulation |
| title | Density-dependent dispersal in multiple species metapopulations |
| title_full | Density-dependent dispersal in multiple species metapopulations |
| title_fullStr | Density-dependent dispersal in multiple species metapopulations |
| title_full_unstemmed | Density-dependent dispersal in multiple species metapopulations |
| title_short | Density-dependent dispersal in multiple species metapopulations |
| title_sort | density dependent dispersal in multiple species metapopulations |
| topic | multiple species density-dependent migration metapopulation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.843 |
| work_keys_str_mv | AT jacquesalsilva densitydependentdispersalinmultiplespeciesmetapopulations AT flaviatgiordani densitydependentdispersalinmultiplespeciesmetapopulations |