An observer for a nonlinear age-structured model of a harvested fish population
We consider an age-structured model of a harvested population.This model is a discrete-time system that includes a nonlinear stock-recruitmentrelationship. Our purpose is to estimate the stock state. To achieve this goal,we built an observer, which is an auxiliary system that uses the total numberof...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.337 |
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| author | Diène Ngom A. Iggidir Aboudramane Guiro Abderrahim Ouahbi |
| author_facet | Diène Ngom A. Iggidir Aboudramane Guiro Abderrahim Ouahbi |
| author_sort | Diène Ngom |
| collection | DOAJ |
| description | We consider an age-structured model of a harvested population.This model is a discrete-time system that includes a nonlinear stock-recruitmentrelationship. Our purpose is to estimate the stock state. To achieve this goal,we built an observer, which is an auxiliary system that uses the total numberof fish caught over each season and gives a dynamical estimation of the numberof fish by age class. We analyse the convergence of the observer and we showthat the error estimation tends to zero with exponential speed if a conditionon the fishing effort is satisfied. Moreover the constructed observer (dynamicalestimator) does not depend on the poorly understood stock-recruitmentrelationship. This study shows how some tools from nonlinear control theorycan help to deal with the state estimation problem in the field of renewableresource management. |
| format | Article |
| id | doaj-art-c93f3665d45f44b8a11cbfc8301c74ce |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c93f3665d45f44b8a11cbfc8301c74ce2025-01-24T01:58:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-02-015233735410.3934/mbe.2008.5.337An observer for a nonlinear age-structured model of a harvested fish populationDiène Ngom0A. Iggidir1Aboudramane Guiro2Abderrahim Ouahbi3Laboratoire d’Analyse Numérique et d’Informatique (LANI), UFR de Sciences Appliquées et de Technologie., Université Gaston Berger. B.P. 234 Saint-Louis,Laboratoire d’Analyse Numérique et d’Informatique (LANI), UFR de Sciences Appliquées et de Technologie., Université Gaston Berger. B.P. 234 Saint-Louis,Laboratoire d’Analyse Numérique et d’Informatique (LANI), UFR de Sciences Appliquées et de Technologie., Université Gaston Berger. B.P. 234 Saint-Louis,Laboratoire d’Analyse Numérique et d’Informatique (LANI), UFR de Sciences Appliquées et de Technologie., Université Gaston Berger. B.P. 234 Saint-Louis,We consider an age-structured model of a harvested population.This model is a discrete-time system that includes a nonlinear stock-recruitmentrelationship. Our purpose is to estimate the stock state. To achieve this goal,we built an observer, which is an auxiliary system that uses the total numberof fish caught over each season and gives a dynamical estimation of the numberof fish by age class. We analyse the convergence of the observer and we showthat the error estimation tends to zero with exponential speed if a conditionon the fishing effort is satisfied. Moreover the constructed observer (dynamicalestimator) does not depend on the poorly understood stock-recruitmentrelationship. This study shows how some tools from nonlinear control theorycan help to deal with the state estimation problem in the field of renewableresource management.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.337discrete time systemharvested fish populationestimationage structuredpopulation modelsobservers. |
| spellingShingle | Diène Ngom A. Iggidir Aboudramane Guiro Abderrahim Ouahbi An observer for a nonlinear age-structured model of a harvested fish population Mathematical Biosciences and Engineering discrete time system harvested fish population estimation age structuredpopulation models observers. |
| title | An observer for a nonlinear age-structured model of a harvested fish population |
| title_full | An observer for a nonlinear age-structured model of a harvested fish population |
| title_fullStr | An observer for a nonlinear age-structured model of a harvested fish population |
| title_full_unstemmed | An observer for a nonlinear age-structured model of a harvested fish population |
| title_short | An observer for a nonlinear age-structured model of a harvested fish population |
| title_sort | observer for a nonlinear age structured model of a harvested fish population |
| topic | discrete time system harvested fish population estimation age structuredpopulation models observers. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.337 |
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