Boundary controllability of nonlinear size-structured population dynamics

Shu-Ping Wang, Ze-Rong He

Abstract


This work is concerned with the existence of a unique solution and the controllability for a size-structured population model, which incorporates density-dependent immigration and boundary control. By means of semigroup theory of operators and fixed point reasoning, we show that the system is well-posed and exactly controllable.


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Published: 2016-10-14

How to Cite this Article:

Shu-Ping Wang, Ze-Rong He, Boundary controllability of nonlinear size-structured population dynamics, Commun. Math. Biol. Neurosci., 2016 (2016), Article ID 15

Copyright © 2016 Shu-Ping Wang, Ze-Rong He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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