TY - JOUR
A2 - Simos, Theodore E.
AU - SimporÃ©, Yacouba
PY - 2021
DA - 2021/01/11
TI - Controllability of a Family of Nonlinear Population Dynamics Models
SP - 3581431
VL - 2021
AB - Considering a nonlinear dynamical system, we study the nonlinear infinite-dimensional system obtained by grafting an operator A and an age structure. This system is such that the nonlinearity is at the level of births. We show that there is a time T dependent on the constraints on the age and the observability minimal time T0 of the pair A,B (B is the control operator), from which the system is null controllable. We first establish an observability inequality useful for the proof of the null controllability of an auxiliary system. We also apply Schauder’s fixed point in the proof of the null controllability of the nonlinear system..
SN - 0161-1712
UR - https://doi.org/10.1155/2021/3581431
DO - 10.1155/2021/3581431
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi
KW -
ER -