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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2016 (2016)

Commun. Math. Biol. Neurosci. 2016 (2016), Article ID 15

Boundary controllability of nonlinear size-structured population dynamics

Shu-Ping Wang, Ze-Rong He

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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.

Published
14 October 2016
Volume
2016 (2016)
License
CC BY 3.0

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.

Cite this article

S.-P. Wang, Z.-R. He, Boundary controllability of nonlinear size-structured population dynamics, Commun. Math. Biol. Neurosci. 2016 (2016), 15.

BibTeX
@article{Wang2016,
  author  = {Wang, Shu-Ping and He, Ze-Rong},
  title   = {Boundary controllability of nonlinear size-structured population dynamics},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2016},
  year    = {2016},
  pages   = {15},
  doi     = {}
}