Null Controllability of a Four Stage and Age-Structured Population Dynamics Model
This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions. More precisely, we consider a four-stage model with a second derivative with respect to the age variable. The null controllability is related to th...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5546150 |
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| _version_ | 1832560119592779776 |
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| author | Amidou Traoré Bedr’Eddine Ainseba Oumar Traoré |
| author_facet | Amidou Traoré Bedr’Eddine Ainseba Oumar Traoré |
| author_sort | Amidou Traoré |
| collection | DOAJ |
| description | This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions. More precisely, we consider a four-stage model with a second derivative with respect to the age variable. The null controllability is related to the extinction of eggs, larvae, and female population. Thus, we estimate a time T to bring eggs, larvae, and female subpopulation density to zero. Our method combines fixed point theorem and Carleman estimate. We end this work with numerical illustrations. |
| format | Article |
| id | doaj-art-7c00a3467b464f77a9221f629507172e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7c00a3467b464f77a9221f629507172e2025-02-03T01:28:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55461505546150Null Controllability of a Four Stage and Age-Structured Population Dynamics ModelAmidou Traoré0Bedr’Eddine Ainseba1Oumar Traoré2Laboratoire LAMI, Université Joseph Ki ZERBO de Ouagadougou, 01 BP 7021 Ouaga 01, Ouagadougou, Burkina FasoInstitut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire 33076, Bordeaux, FranceDépartement de Mathématiques de la Décision, Université Ouaga 2, 12 BP 417 Ouaga 12, Laboratoire LAMI, Université Joseph Ki ZERBO de Ouagadougou, 01 BP 7021 Ouaga 01, Ouagadougou, Burkina FasoThis paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions. More precisely, we consider a four-stage model with a second derivative with respect to the age variable. The null controllability is related to the extinction of eggs, larvae, and female population. Thus, we estimate a time T to bring eggs, larvae, and female subpopulation density to zero. Our method combines fixed point theorem and Carleman estimate. We end this work with numerical illustrations.http://dx.doi.org/10.1155/2021/5546150 |
| spellingShingle | Amidou Traoré Bedr’Eddine Ainseba Oumar Traoré Null Controllability of a Four Stage and Age-Structured Population Dynamics Model Journal of Mathematics |
| title | Null Controllability of a Four Stage and Age-Structured Population Dynamics Model |
| title_full | Null Controllability of a Four Stage and Age-Structured Population Dynamics Model |
| title_fullStr | Null Controllability of a Four Stage and Age-Structured Population Dynamics Model |
| title_full_unstemmed | Null Controllability of a Four Stage and Age-Structured Population Dynamics Model |
| title_short | Null Controllability of a Four Stage and Age-Structured Population Dynamics Model |
| title_sort | null controllability of a four stage and age structured population dynamics model |
| url | http://dx.doi.org/10.1155/2021/5546150 |
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