Abstract The controllability of a class of hierarchical age-structured population system is studied, in which the state equation is described by a nonlinear partial integro-differential equation with
a boundary condition of global feedback. The approximate controllability of the system is established
by means of frozen coefficients, a result for linear system and the Kakutani fixed point theorem of
multi-valued mappings. The conclusion shows that the population state can be adjusted by individuals
migration process.
HE Ze-rong, ZHOU Nan, HAN Meng-jie. Controllability of a hierarchical age-structured population system model. Applied Mathematics A Journal of Chinese Universities, 2020, 35(2): 191-198.
