Approximate controllability by birth control for a nonlinear population dynamics model

Otared Kavian, Oumar Traoré
2010 E S A I M: Control, Optimisation and Calculus of Variations  
In this paper we analyse an approximate controllability result for a nonlinear population dynamics model. In this model the birth term is nonlocal and describes the recruitment process in newborn individuals population, and the control acts on a small open set of the domain and corresponds to an elimination or a supply of newborn individuals. In our proof we use a unique continuation property for the solution of the heat equation and the Kakutani-Fan-Glicksberg fixed point theorem. Mathematics Subject Classification. 93B05, 35K05, 47H10, 92D25.
doi:10.1051/cocv/2010043 fatcat:qezscwndmvf7np7pzwbn2pk7ui