Null controllability of a nonlinear population dynamics problem
We establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint sys...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/49279 |
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| _version_ | 1832560757587312640 |
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| author | Oumar Traore |
| author_facet | Oumar Traore |
| author_sort | Oumar Traore |
| collection | DOAJ |
| description | We establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction. |
| format | Article |
| id | doaj-art-b6c8c5e6ac4e4433a683b64937ece073 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b6c8c5e6ac4e4433a683b64937ece0732025-02-03T01:26:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4927949279Null controllability of a nonlinear population dynamics problemOumar Traore0Département de Mathématiques, Université de Ouagadougou, Ouagadougou 03 BP 7021, Burkina FasoWe establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.http://dx.doi.org/10.1155/IJMMS/2006/49279 |
| spellingShingle | Oumar Traore Null controllability of a nonlinear population dynamics problem International Journal of Mathematics and Mathematical Sciences |
| title | Null controllability of a nonlinear population dynamics problem |
| title_full | Null controllability of a nonlinear population dynamics problem |
| title_fullStr | Null controllability of a nonlinear population dynamics problem |
| title_full_unstemmed | Null controllability of a nonlinear population dynamics problem |
| title_short | Null controllability of a nonlinear population dynamics problem |
| title_sort | null controllability of a nonlinear population dynamics problem |
| url | http://dx.doi.org/10.1155/IJMMS/2006/49279 |
| work_keys_str_mv | AT oumartraore nullcontrollabilityofanonlinearpopulationdynamicsproblem |