2017/04/04 by Idriss Boutaayamou, Boutaayamou, Idriss, Younes Echarroudi +1
Engineering · Medicine · Mathematics · #Stability and Controllability of Differential Equations #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth
paper · pdf · doi:10.48550/arxiv.1704.00936
In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards 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.