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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2016 (2016), Article ID 11

Optimal harvesting control of N species for a nonlinear population system

Jiangbi Liu, Zhixue Luo, Hongwei Luo

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Abstract

In this paper, we investigate the optimal harvesting problem for a class of nonlinear population system with fertility and mortality depending on the population size. Fixed point theory is used to obtain the existence and uniqueness of nonnegative solution in terms of the controls. Optimality conditions are derived by means of normal cone technique. The existence of the optimal control is carefully verified via Ekeland's variation principle, some results in references are extended.

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

Copyright © 2016 Jiangbi Liu, Zhixue Luo, Hongwei Luo. 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

J. Liu, Z. Luo, H. Luo, Optimal harvesting control of N species for a nonlinear population system, Commun. Math. Biol. Neurosci. 2016 (2016), 11.

BibTeX
@article{Liu2016,
  author  = {Liu, Jiangbi and Luo, Zhixue and Luo, Hongwei},
  title   = {Optimal harvesting control of N species for a nonlinear population system},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2016},
  year    = {2016},
  pages   = {11},
  doi     = {}
}