Null controllability of a nonlinear population dynamics problem

Oumar Traore
2006 International Journal of Mathematics and Mathematical Sciences  
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.
doi:10.1155/ijmms/2006/49279 fatcat:62higoe7tjh25o4w7cm7jdijd4