Biological control of the chemostat with nonmonotonic response and different removal rates
We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a ''biological'' control, in presence ofdifferent removal rates for each species. This result is obtained by an extensionof the Competitive Exclusion Principle in the chemostat, fo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.539 |
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| _version_ | 1832590190527381504 |
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| author | Alain Rapaport Jérôme Harmand |
| author_facet | Alain Rapaport Jérôme Harmand |
| author_sort | Alain Rapaport |
| collection | DOAJ |
| description | We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a ''biological'' control, in presence ofdifferent removal rates for each species. This result is obtained by an extensionof the Competitive Exclusion Principle in the chemostat, for the case of twospecies with different removal rates and at least one nonmonotonic response. |
| format | Article |
| id | doaj-art-70934a9177de4735ab8261e9224a127a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-70934a9177de4735ab8261e9224a127a2025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015353954710.3934/mbe.2008.5.539Biological control of the chemostat with nonmonotonic response and different removal ratesAlain Rapaport0Jérôme Harmand1UMR Analyse des Systèmes et Biométrie, INRA, EPI INRA/INRIA 'MODEMIC', 2 pl. Viala 34060 MontpellierUMR Analyse des Systèmes et Biométrie, INRA, EPI INRA/INRIA 'MODEMIC', 2 pl. Viala 34060 MontpellierWe show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a ''biological'' control, in presence ofdifferent removal rates for each species. This result is obtained by an extensionof the Competitive Exclusion Principle in the chemostat, for the case of twospecies with different removal rates and at least one nonmonotonic response.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.539globalstabilization.competition exclusionchemostat |
| spellingShingle | Alain Rapaport Jérôme Harmand Biological control of the chemostat with nonmonotonic response and different removal rates Mathematical Biosciences and Engineering globalstabilization. competition exclusion chemostat |
| title | Biological control of the chemostat with nonmonotonic response and different removal rates |
| title_full | Biological control of the chemostat with nonmonotonic response and different removal rates |
| title_fullStr | Biological control of the chemostat with nonmonotonic response and different removal rates |
| title_full_unstemmed | Biological control of the chemostat with nonmonotonic response and different removal rates |
| title_short | Biological control of the chemostat with nonmonotonic response and different removal rates |
| title_sort | biological control of the chemostat with nonmonotonic response and different removal rates |
| topic | globalstabilization. competition exclusion chemostat |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.539 |
| work_keys_str_mv | AT alainrapaport biologicalcontrolofthechemostatwithnonmonotonicresponseanddifferentremovalrates AT jeromeharmand biologicalcontrolofthechemostatwithnonmonotonicresponseanddifferentremovalrates |