An Optimal Control Problem Related to a Hybrid Aquatic System


  • Gabriel Dimitriu* University of Medicine and Pharmacy Grigore T. Popa
  • Catalin Trenchea



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. ...

Author Biography

Gabriel Dimitriu*, University of Medicine and Pharmacy Grigore T. Popa

Professor at Department of Medical Informatics and Biostatistics






Conference Contributions