2021 Interrelationships between Prey and Predators and How Predators Choose Their Prey to Maximize Their Utility Functions
Asmaa Idmbarek, Yamna Achik, Imane Agmour, Hajar Nafia, Youssef El Foutayeni
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J. Appl. Math. 2021: 1-8 (2021). DOI: 10.1155/2021/6619500

Abstract

In this work, we model the relationship between prey and predators by studying the interactive behavior of this prey-predator model and using the change of prey. The objective is to maximize the profit function of each predator by seeking the strategy provided by each predator to maximize its profit. To do so, we maximize this utility function being constrained by balance equations between biomass and trophic, and we show that this last problem is completely equivalent to finding the generalized Nash equilibrium point. To calculate it, we use the conditions of Karush-Kuhn-Tucker and we show that it is indeed a linear complementarity problem.

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Asmaa Idmbarek. Yamna Achik. Imane Agmour. Hajar Nafia. Youssef El Foutayeni. "Interrelationships between Prey and Predators and How Predators Choose Their Prey to Maximize Their Utility Functions." J. Appl. Math. 2021 1 - 8, 2021. https://doi.org/10.1155/2021/6619500

Information

Received: 1 January 2021; Accepted: 9 February 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/6619500

Rights: Copyright © 2021 Hindawi

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