Electron. J. Differential Equations, Vol. 2017 (2017), No. 131, pp. 1-21.

Null controllability of population dynamics with interior degeneracy

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.

Show me the PDF file (306 KB), TEX file for this article.

Idriss Boutaayamou
Faculté polydisciplinaire de Ouarzazate
Université Ibn Zohr
B.P. 638, Ouarzazate 45000, Morocco
email: dsboutaayamou@gmail.com
Younes Echarroudi
Private University of Marrakesh
Km 13 Route d'Amizmiz, Marrakesh, Morocco
email: yecharroudi@gmail.com, y.echarroudi@upm.ac.ma

Return to the EJDE web page