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Local exact controllability of the age-dependent population dynamics with diffusion. (English) Zbl 0995.93008

The paper deals with a linear age and space population dynamics model where the birth process is nonlocal. By using the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in \(L^k\) and the Banach fixed point theorem, the authors prove the exact controllability for the problem.

MSC:

93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
92D25 Population dynamics (general)
35K05 Heat equation
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