2017/01/15 by Ainseba, Bedr'Eddine, Echarroudi, Younes, Maniar, Lahcen
#35K65 #92D25 #93B05 #93B07 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1701.04083
In this paper, we are concerned with the null controllability of a linear population dynamics cascade systems (or the so-called prey-predator models) with two different dispersion coefficients which degenerate in the boundary and with one control force. We develop first a Carleman type inequality for its adjoint system, and then an observability inequality which allows us to deduce the existence of a control acting on a subset of the space domain which steers both populations of a certain age to extinction in a finite time.