Adjustment submersible cages for optimal fish farming: improved spatiotemporal Lotka–Volterra model for n species in partitioned area
| Autor: | Amine Bouaine, Mostafa Rachik |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mathematical optimization
Control and Optimization Mechanical Engineering Fish farming Volterra equations Optimal control 01 natural sciences 010305 fluids & plasmas Set (abstract data type) Food chain Control and Systems Engineering Modeling and Simulation 0103 physical sciences Production (computer science) Electrical and Electronic Engineering 010306 general physics Civil and Structural Engineering Mathematics |
| Zdroj: | International Journal of Dynamics and Control. 6:919-928 |
| ISSN: | 2195-2698 2195-268X |
| DOI: | 10.1007/s40435-017-0329-3 |
| Popis: | The first goal of this research is to set improved spatiotemporal discrete Lotlka–Volterra model including n different species which occupy three dimensional area $$ \varOmega $$ and obey to any complex marine food chain. The area $$ \varOmega $$ is partitioned into R subregions, each subregion includes at least two species, and each species can occupy more than one subregion. The next concern is to increase production of special species which survive in a target subregion, taking into account the financial cost and the severe consequences on the environment. So, we propose two different approaches: optimal farming intra-subregion and optimal farming inter-subregions. One the one hand, we develop optimal program of farming intra-subregion in order to rise the growth rate of the concerned species. On the other hand, we aim to protect the concerned species by optimal adjustment of grids constituting the submersible cage in order to control the local interaction between the target subregion and its neighboring subregions. To the best of our knowledge, it’s the first time when permeability of submersible cages will be modeled and introduced in predator–prey models. To end, adequate numerical illustrations are implemented and discussed to prove the effectiveness of each approach. |
| Databáze: | OpenAIRE |
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