An Optimal Control Problem Related to a Hybrid Aquatic System
DOI:
https://doi.org/10.11145/cb.v3i1.680Abstract
The increasing interest for ecological water quality models has gained a lot of importance during the last few decades and has arisen as a result of the eutrophication of lakes and reservoirs throughout the world.
In this talk, we consider the analysis and numerical implementation of an optimal control problem associated with aВ nutrient-phytoplankton-zooplankton-fish model introduced in [2]. In this model, the parameter for nutrient level and fish predation acts asВ a distributed control variable. A similar optimal control problem, but slightly different from this approach with respect to the grazing rate ofВ zooplankton on phytoplankton, was treated in [1].
We establish the existence of optimal solutions and derive the optimality system. We also provide some numerical simulations that support the theoretical results. ...
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