Approximate controllability of population dynamics with size dependence and spatial distribution

Shu-Ping Wang; Ze-Rong He

doi:10.21914/anziamj.v58i0.10820

Authors

Shu-Ping Wang Hangzhou Dianzi University http://orcid.org/0000-0002-2397-5084
Ze-Rong He Hangzhou Dianzi University http://orcid.org/0000-0002-9419-7910

DOI:

https://doi.org/10.21914/anziamj.v58i0.10820

Keywords:

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

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

Author Biographies

Shu-Ping Wang, Hangzhou Dianzi University

Dr., Institute of Operational Research and Cybernetics

Ze-Rong He, Hangzhou Dianzi University

Professor, Institute of Operational Research and Cybernetics