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 |
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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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