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• W2741621415 abstract "Most bio-economic models do not take into account the variational of the price of fish population. Usually, the existing models consider that the prices of the fish populations are constants. In this work, we will take that the price of fish population depends on quantity harvested; for this we propose to define a bio-economic model that merges a model of competition and a model of prey-predator of three fish populations. More specifically, we assume that on the one hand, the evolution of the first and second fish population is described by a density dependent model taking into account the competition between fish populations which compete with each other for space or food; on the other hand, the evolution of the second and third fish population is described by a Lotka-Volterra model. The objective of this work is to maximize the income of the fishing fleet that exploits the three fish populations, but we have to respect two constraints, the first one is the sustainable management of the resources and the second one is the preservation of the biodiversity. The existence of the steady states and its stability are studied using eigenvalue analysis. The problem of determining the equilibrium point that maximizes the income is then solved by using the linear complementarity problem. Finally, some numerical simulations are discussed." @default.
• W2741621415 created "2017-08-08" @default.
• W2741621415 creator A5041155340 @default.
• W2741621415 creator A5081289337 @default.
• W2741621415 date "2012-01-01" @default.
• W2741621415 modified "2023-09-26" @default.
• W2741621415 title "A bio-economic model of fishery where prices depend on harvest" @default.
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