Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population
This paper is devoted to study the null controllability properties of a nonlinear age and two-sex population dynamics structured model without spatial structure. Here, the nonlinearity and the couplage are at the birth level. In this work, we consider two cases of null controllability problem. The f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6666942 |
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| author | Amidou Traoré Okana S. Sougué Yacouba Simporé Oumar Traoré |
| author_facet | Amidou Traoré Okana S. Sougué Yacouba Simporé Oumar Traoré |
| author_sort | Amidou Traoré |
| collection | DOAJ |
| description | This paper is devoted to study the null controllability properties of a nonlinear age and two-sex population dynamics structured model without spatial structure. Here, the nonlinearity and the couplage are at the birth level. In this work, we consider two cases of null controllability problem. The first problem is related to the extinction of male and female subpopulation density. The second case concerns the null controllability of male or female subpopulation individuals. In both cases, if A is the maximal age, a time interval of duration A after the extinction of males or females, one must get the total extinction of the population. Our method uses first an observability inequality related to the adjoint of an auxiliary system, a null controllability of the linear auxiliary system, and after Kakutani’s fixed-point theorem. |
| format | Article |
| id | doaj-art-ef469435946c4bdaa1b7a7c7e186357a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ef469435946c4bdaa1b7a7c7e186357a2025-02-03T06:43:27ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66669426666942Null Controllability of a Nonlinear Age Structured Model for a Two-Sex PopulationAmidou Traoré0Okana S. Sougué1Yacouba Simporé2Oumar Traoré3Laboratoire LAMI, Université Joseph Ki ZERBO, 01 BP 7021 Ouaga 01, Burkina FasoLaboratoire LAMI, Université Joseph Ki ZERBO, 01 BP 7021 Ouaga 01, Burkina FasoLaboratoire LAMI, Université Joseph Ki ZERBO, 01 BP 7021 Ouaga 01, Burkina FasoLaboratoire LAMI, Université Joseph Ki ZERBO, 01 BP 7021 Ouaga 01, Burkina FasoThis paper is devoted to study the null controllability properties of a nonlinear age and two-sex population dynamics structured model without spatial structure. Here, the nonlinearity and the couplage are at the birth level. In this work, we consider two cases of null controllability problem. The first problem is related to the extinction of male and female subpopulation density. The second case concerns the null controllability of male or female subpopulation individuals. In both cases, if A is the maximal age, a time interval of duration A after the extinction of males or females, one must get the total extinction of the population. Our method uses first an observability inequality related to the adjoint of an auxiliary system, a null controllability of the linear auxiliary system, and after Kakutani’s fixed-point theorem.http://dx.doi.org/10.1155/2021/6666942 |
| spellingShingle | Amidou Traoré Okana S. Sougué Yacouba Simporé Oumar Traoré Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population Abstract and Applied Analysis |
| title | Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population |
| title_full | Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population |
| title_fullStr | Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population |
| title_full_unstemmed | Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population |
| title_short | Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population |
| title_sort | null controllability of a nonlinear age structured model for a two sex population |
| url | http://dx.doi.org/10.1155/2021/6666942 |
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