International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 19, Pages 49279, 20 p.
doi:10.1155/IJMMS/2006/49279

Null controllability of a nonlinear population dynamics problem

Abstract

We establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.