Optimal mullets consumption by osprey population using utility function

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

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.

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Published: 2023-06-26

How to Cite this Article:

Asmaa Idmbarek, Nossaiba Baba, Youssef El Foutayeni, Naceur Achtaich, Optimal mullets consumption by osprey population using utility function, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 64

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.

Commun. Math. Biol. Neurosci.

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