Approximate controllability of population dynamics with size dependence and spatial distribution

Shu-Ping Wang, Ze-Rong He

Abstract


We investigate the approximate controllability of a size- and space-structured population model, for which the control function acts on a subdomain and corresponds to the migration of individuals. We establish the main result via the unique continuation property of the adjoint system. The desired controller is the minimizer of an infinite-dimensional optimization problem.





doi:10.1017/S1446181117000165

Keywords


size and space structure, population model, approximate controllability, fixed point theorem, Hilbert uniqueness method



DOI: http://dx.doi.org/10.21914/anziamj.v58i0.10820



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.