Idriss Boutaayamou, Younes Echarroudi
In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which will be needed to establish the existence of a control acting on a subset of the space which lead the population to extinction in a finite time.
Submitted January 9, 2017. Published May 12, 2017.
Math Subject Classifications: 35K65, 92D25, 93B05, 93B07.
Key Words: Population dynamics model; interior degeneracy; Carleman estimate; observability inequality; null controllability.
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| Idriss Boutaayamou |
Faculté polydisciplinaire de Ouarzazate
Université Ibn Zohr
B.P. 638, Ouarzazate 45000, Morocco
| Younes Echarroudi |
Private University of Marrakesh
Km 13 Route d'Amizmiz, Marrakesh, Morocco
email: firstname.lastname@example.org, email@example.com
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