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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.<\/jats:p>","DOI":"10.1155\/2021\/6619500","type":"journal-article","created":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T02:50:28Z","timestamp":1614480628000},"page":"1-8","source":"Crossref","is-referenced-by-count":2,"title":["Interrelationships between Prey and Predators and How Predators Choose Their Prey to Maximize Their Utility Functions"],"prefix":"10.1155","volume":"2021","author":[{"given":"Asmaa","family":"Idmbarek","sequence":"first","affiliation":[{"name":"Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yamna","family":"Achik","sequence":"additional","affiliation":[{"name":"Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Imane","family":"Agmour","sequence":"additional","affiliation":[{"name":"Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hajar","family":"Nafia","sequence":"additional","affiliation":[{"name":"Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8207-7057","authenticated-orcid":true,"given":"Youssef","family":"El Foutayeni","sequence":"additional","affiliation":[{"name":"Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"volume-title":"Mathematical Modeling of Biological Systems","year":"1977","author":"H. 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