Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model
We first prove a null controllability result for a nonlinear system derived from a nonlinear population dynamics model. In order to tackle the controllability problem we use an adapted Carleman inequality. Next we consider the nonlinear population dynamics model with a source term called the polluti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/2820613 |
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| _version_ | 1832566874755301376 |
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| author | Yacouba Simporé Oumar Traoré |
| author_facet | Yacouba Simporé Oumar Traoré |
| author_sort | Yacouba Simporé |
| collection | DOAJ |
| description | We first prove a null controllability result for a nonlinear system derived from a nonlinear population dynamics model. In order to tackle the controllability problem we use an adapted Carleman inequality. Next we consider the nonlinear population dynamics model with a source term called the pollution term. In order to obtain information on the pollution term we use the method of sentinel. |
| format | Article |
| id | doaj-art-01b84db94c764444b678717303e154fa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01b84db94c764444b678717303e154fa2025-02-03T01:02:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/28206132820613Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics ModelYacouba Simporé0Oumar Traoré1LAMI, Universite de Ouagadougou, 01 BP 7021, Ouaga 01, Burkina FasoLAMI, Universite de Ouagadougou, 12 BP 417, Ouaga 12, Burkina FasoWe first prove a null controllability result for a nonlinear system derived from a nonlinear population dynamics model. In order to tackle the controllability problem we use an adapted Carleman inequality. Next we consider the nonlinear population dynamics model with a source term called the pollution term. In order to obtain information on the pollution term we use the method of sentinel.http://dx.doi.org/10.1155/2016/2820613 |
| spellingShingle | Yacouba Simporé Oumar Traoré Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model International Journal of Mathematics and Mathematical Sciences |
| title | Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model |
| title_full | Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model |
| title_fullStr | Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model |
| title_full_unstemmed | Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model |
| title_short | Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model |
| title_sort | null controllability of a nonlinear dissipative system and application to the detection of the incomplete parameter for a nonlinear population dynamics model |
| url | http://dx.doi.org/10.1155/2016/2820613 |
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