Null controllability of a cascade model in population dynamics
Optimization and Control
2017-01-17 v1
Abstract
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.
Cite
@article{arxiv.1701.04083,
title = {Null controllability of a cascade model in population dynamics},
author = {Bedr'Eddine Ainseba and Younes Echarroudi and Lahcen Maniar},
journal= {arXiv preprint arXiv:1701.04083},
year = {2017}
}