Affiliation:
1. Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Morocco
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.
Reference24 articles.
1. The role of space in reducing predator-prey cycles, the geometry of ecological interactions simplifying spacial compelxity;V. A. A. Jansen;Cambridge University Press,2000
2. Population dynamics in a model for territory acquisition, discrete and continuous dynamical systems, added volume;W. Feng;Feng,2001
3. Switching in General Predators: Experiments on Predator Specificity and Stability of Prey Populations
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献