Evolution of dispersal and the ideal free distribution
A general question in the study of the evolution of dispersalis what kind of dispersal strategies can conveycompetitive advantages and thus will evolve.We consider a two species competition modelin which the species are assumed to have the same population dynamics but different dispersal strategi...
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AIMS Press
2009-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.17 |
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| author | Robert Stephen Cantrell Chris Cosner Yuan Lou |
| author_facet | Robert Stephen Cantrell Chris Cosner Yuan Lou |
| author_sort | Robert Stephen Cantrell |
| collection | DOAJ |
| description | A general question in the study of the evolution of dispersalis what kind of dispersal strategies can conveycompetitive advantages and thus will evolve.We consider a two species competition modelin which the species are assumed to have the same population dynamics but different dispersal strategies.Both species disperse by random diffusion and advection along certaingradients, with the same random dispersal rates but different advectioncoefficients.We found a conditional dispersal strategy which results in the ideal free distribution of species,and show that it is a localevolutionarily stable strategy.We further show that this strategyis also a global convergent stable strategyunder suitable assumptions, and our resultsillustrate how the evolution of conditional dispersal can lead to an ideal free distribution.The underlying biological reason is thatthe species with this particular dispersal strategy can perfectly match the environmentalresource, which leads to its fitness being equilibrated across the habitats. |
| format | Article |
| id | doaj-art-5bf1351e55534478b0de0fd6c72b1725 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5bf1351e55534478b0de0fd6c72b17252025-01-24T02:00:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-12-0171173610.3934/mbe.2010.7.17Evolution of dispersal and the ideal free distributionRobert Stephen Cantrell0Chris Cosner1Yuan Lou2Department of Mathematics, University of Miami, P. O . Box 249085, Coral Gables, FL 33124-4250Department of Mathematics, University of Miami, P. O . Box 249085, Coral Gables, FL 33124-4250Department of Mathematics, University of Miami, P. O . Box 249085, Coral Gables, FL 33124-4250A general question in the study of the evolution of dispersalis what kind of dispersal strategies can conveycompetitive advantages and thus will evolve.We consider a two species competition modelin which the species are assumed to have the same population dynamics but different dispersal strategies.Both species disperse by random diffusion and advection along certaingradients, with the same random dispersal rates but different advectioncoefficients.We found a conditional dispersal strategy which results in the ideal free distribution of species,and show that it is a localevolutionarily stable strategy.We further show that this strategyis also a global convergent stable strategyunder suitable assumptions, and our resultsillustrate how the evolution of conditional dispersal can lead to an ideal free distribution.The underlying biological reason is thatthe species with this particular dispersal strategy can perfectly match the environmentalresource, which leads to its fitness being equilibrated across the habitats.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.17ideal free distributionevolution of dispersalreaction-diffusion-advection. |
| spellingShingle | Robert Stephen Cantrell Chris Cosner Yuan Lou Evolution of dispersal and the ideal free distribution Mathematical Biosciences and Engineering ideal free distribution evolution of dispersal reaction-diffusion-advection. |
| title | Evolution of dispersal and the ideal free distribution |
| title_full | Evolution of dispersal and the ideal free distribution |
| title_fullStr | Evolution of dispersal and the ideal free distribution |
| title_full_unstemmed | Evolution of dispersal and the ideal free distribution |
| title_short | Evolution of dispersal and the ideal free distribution |
| title_sort | evolution of dispersal and the ideal free distribution |
| topic | ideal free distribution evolution of dispersal reaction-diffusion-advection. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.17 |
| work_keys_str_mv | AT robertstephencantrell evolutionofdispersalandtheidealfreedistribution AT chriscosner evolutionofdispersalandtheidealfreedistribution AT yuanlou evolutionofdispersalandtheidealfreedistribution |