Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 64

Optimal mullets consumption by osprey population using utility function

Asmaa Idmbarek, Nossaiba Baba, Youssef El Foutayeni, Naceur Achtaich

PDF (1.6 MB) https://doi.org/10.28919/cmbn/7987

Abstract

We consider the interaction between mullets and osprey populations. The main objective of this work is that the osprey must choose the predation intensity over time in a way that maximizes the present value of the utility stream derived by consuming mullets. The model has features of both convex and concave optimal control problems and therefore, phase plane analysis has to be combined with the problem of synthesis of bang-bang, singular and chattering solution pieces.

Published
26 June 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Asmaa Idmbarek, Nossaiba Baba, Youssef El Foutayeni, Naceur Achtaich. 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

A. Idmbarek, N. Baba, Y. El Foutayeni, N. Achtaich, Optimal mullets consumption by osprey population using utility function, Commun. Math. Biol. Neurosci. 2023 (2023), 64. https://doi.org/10.28919/cmbn/7987

BibTeX
@article{Idmbarek2023,
  author  = {Idmbarek, Asmaa and Baba, Nossaiba and El Foutayeni, Youssef and Achtaich, Naceur},
  title   = {Optimal mullets consumption by osprey population using utility function},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {64},
  doi     = {10.28919/cmbn/7987}
}