A competition model of the chemostat with an external inhibitor
A competition model of the chemostat with an external inhibitoris considered. This inhibitor is lethal to one competitor and results in thedecrease of growth rate of this competitor. The existence and stability of theextinction equilibria are discussed by using Liapunov function. The necessaryand su...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.111 |
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| _version_ | 1832590250981982208 |
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| author | Jianquan Li Zuren Feng Juan Zhang Jie Lou |
| author_facet | Jianquan Li Zuren Feng Juan Zhang Jie Lou |
| author_sort | Jianquan Li |
| collection | DOAJ |
| description | A competition model of the chemostat with an external inhibitoris considered. This inhibitor is lethal to one competitor and results in thedecrease of growth rate of this competitor. The existence and stability of theextinction equilibria are discussed by using Liapunov function. The necessaryand sufficient condition guaranteeing the existence of the interior equilibriumis given. It is found by numerical simulation that the system may be globallystable or have a stable limit cycle if the interior equilibrium exists. |
| format | Article |
| id | doaj-art-4a6c5f0c68a34a78a681d8e145311456 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4a6c5f0c68a34a78a681d8e1453114562025-01-24T01:51:11ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-10-013111112310.3934/mbe.2006.3.111A competition model of the chemostat with an external inhibitorJianquan Li0Zuren Feng1Juan Zhang2Jie Lou3Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049Systems Engineering Institute, Xi'an Jiaotong University, Xi'an 710049Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049A competition model of the chemostat with an external inhibitoris considered. This inhibitor is lethal to one competitor and results in thedecrease of growth rate of this competitor. The existence and stability of theextinction equilibria are discussed by using Liapunov function. The necessaryand sufficient condition guaranteeing the existence of the interior equilibriumis given. It is found by numerical simulation that the system may be globallystable or have a stable limit cycle if the interior equilibrium exists.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.111stabilitylimit cycle.competitionchemostat |
| spellingShingle | Jianquan Li Zuren Feng Juan Zhang Jie Lou A competition model of the chemostat with an external inhibitor Mathematical Biosciences and Engineering stability limit cycle. competition chemostat |
| title | A competition model of the chemostat with an external inhibitor |
| title_full | A competition model of the chemostat with an external inhibitor |
| title_fullStr | A competition model of the chemostat with an external inhibitor |
| title_full_unstemmed | A competition model of the chemostat with an external inhibitor |
| title_short | A competition model of the chemostat with an external inhibitor |
| title_sort | competition model of the chemostat with an external inhibitor |
| topic | stability limit cycle. competition chemostat |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.111 |
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