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APPROXIMATE CONTROLLABILITY OF POPULATION DYNAMICS WITH SIZE DEPENDENCE AND SPATIAL DISTRIBUTION

Part of: Hyperbolic equations and systems Controllability, observability, and system structure

Published online by Cambridge University Press:  16 May 2017

S. P. WANG Open the ORCID record for S. P. WANG [Opens in a new window]  and
Z. R. HE Open the ORCID record for Z. R. HE [Opens in a new window]
S. P. WANG
Affiliation:
Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Zhejiang, PR China email shupingwang2015@163.com email zrhe@hdu.edu.cn
Z. R. HE*
Affiliation:
Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Zhejiang, PR China email shupingwang2015@163.com email zrhe@hdu.edu.cn
*
✉zrhe@hdu.edu.cn
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Abstract

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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.

Keywords

size and space structurepopulation modelapproximate controllabilityfixed point theoremHilbert uniqueness method

MSC classification

Primary: 35L60: Nonlinear first-order hyperbolic equations
Secondary: 92D25: Population dynamics (general) 93B05: Controllability
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 474 - 481
Copyright
© 2017 Australian Mathematical Society 

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