Interrelationships between Prey and Predators and How Predators Choose Their Prey to Maximize Their Utility Functions
| Autor: | Youssef El Foutayeni, Hajar Nafia, Yamna Achik, Imane Agmour, Asmaa Idmbarek |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Biomass (ecology)
Mathematical optimization Profit (accounting) Article Subject Applied Mathematics 010103 numerical & computational mathematics Function (mathematics) 01 natural sciences Linear complementarity problem Predation 010101 applied mathematics QA1-939 Generalized nash equilibrium 0101 mathematics Predator Mathematics Trophic level |
| Zdroj: | Journal of Applied Mathematics, Vol 2021 (2021) |
| ISSN: | 1687-0042 1110-757X |
| DOI: | 10.1155/2021/6619500 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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