Electron. J. Diff. Equ., Vol. 2014 (2014), No. 240, pp. 1-20.

Null controllability of a model in population dynamics

Younes Echarroudi, Lahcen Maniar

Abstract:
In this article, we study the null controllability of a linear model with degenerate diffusion in population dynamics. We develop first a Carleman type inequality for the adjoint system of an intermediate model, and then an observability inequality. By a fixed point technique, we establish the existence of a control acting on a subset of the space domain that leads the population of a certain age to extinction in a finite time.

Submitted May 7, 2014. Published November 17, 2014.
Math Subject Classifications: 35K65, 92D25, 93B05, 93B07.
Key Words: Population dynamics; Carleman estimate; observability inequality; null controllability.

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Younes Echarroudi
D&eeacute;partement de Math&eeacute;matiques
Facult&eeacute; des Sciences Semlalia, Laboratoire LMDP
UMMISCO (IRD-UPMC), B. P. 2390 Marrakech 40000, Maroc
email: yecharroudi@gmail.com
Lahcen Maniar
D&eeacute;partement de Math&eeacute;matiques
Facult&eeacute; des Sciences Semlalia, Laboratoire LMDP
UMMISCO (IRD-UPMC), B. P. 2390 Marrakech 40000, Maroc
email: maniar@uca.ma

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