Two-Species Competition with High Dispersal: The Winning Strategy
This paper is motivated by the following simple question: how doesdiffusion affect the competition outcomes of two competing speciesthat are identical in all respects other than their strategies onhow they spatially distribute their birth rates. This may provideus with insights into how species lear...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.345 |
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| author | S.A. Gourley Yang Kuang |
| author_facet | S.A. Gourley Yang Kuang |
| author_sort | S.A. Gourley |
| collection | DOAJ |
| description | This paper is motivated by the following simple question: how doesdiffusion affect the competition outcomes of two competing speciesthat are identical in all respects other than their strategies onhow they spatially distribute their birth rates. This may provideus with insights into how species learn to compete in a relativelystable setting, which in turn may point out species evolutiondirections. To this end, we formulate some extremely simple two-species competition models that have either continuous or discretediffusion mechanisms. Our analytical work on these modelscollectively and strongly suggests the following in a fastdiffusion environment: where different species have the same birthrates on average, those that do well are those that havegreater spatial variation in their birth rates. We hypothesizethat this may be a possible explanation for the evolution ofgrouping behavior in many species. Our findings are confirmed byextensive numerical simulation work on the models. |
| format | Article |
| id | doaj-art-b816688322a744f88cc0e15a1e36f94c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b816688322a744f88cc0e15a1e36f94c2025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012234536210.3934/mbe.2005.2.345Two-Species Competition with High Dispersal: The Winning StrategyS.A. Gourley0Yang Kuang1Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XHDepartment of Mathematics, Arizona State University, Tempe, AZ 85287-1804This paper is motivated by the following simple question: how doesdiffusion affect the competition outcomes of two competing speciesthat are identical in all respects other than their strategies onhow they spatially distribute their birth rates. This may provideus with insights into how species learn to compete in a relativelystable setting, which in turn may point out species evolutiondirections. To this end, we formulate some extremely simple two-species competition models that have either continuous or discretediffusion mechanisms. Our analytical work on these modelscollectively and strongly suggests the following in a fastdiffusion environment: where different species have the same birthrates on average, those that do well are those that havegreater spatial variation in their birth rates. We hypothesizethat this may be a possible explanation for the evolution ofgrouping behavior in many species. Our findings are confirmed byextensive numerical simulation work on the models.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.345stabilitypatch population modelcompetitionevolutionreaction diffusionbifurcation. |
| spellingShingle | S.A. Gourley Yang Kuang Two-Species Competition with High Dispersal: The Winning Strategy Mathematical Biosciences and Engineering stability patch population model competition evolution reaction diffusion bifurcation. |
| title | Two-Species Competition with High Dispersal: The Winning Strategy |
| title_full | Two-Species Competition with High Dispersal: The Winning Strategy |
| title_fullStr | Two-Species Competition with High Dispersal: The Winning Strategy |
| title_full_unstemmed | Two-Species Competition with High Dispersal: The Winning Strategy |
| title_short | Two-Species Competition with High Dispersal: The Winning Strategy |
| title_sort | two species competition with high dispersal the winning strategy |
| topic | stability patch population model competition evolution reaction diffusion bifurcation. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.345 |
| work_keys_str_mv | AT sagourley twospeciescompetitionwithhighdispersalthewinningstrategy AT yangkuang twospeciescompetitionwithhighdispersalthewinningstrategy |