Material recycling in a closed aquatic ecosystem. I: Nitrogen transformation cycle and preferential utilization of ammonium to nitrate by phytoplankton as an optimal control problem

DOI10.1007/BF02459492zbMath0856.92023OpenAlexW4253731785MaRDI QIDQ1817474

Tibor Kmeť

Publication date: 24 February 1997

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459492

zbMATH Keywords

Hopf bifurcationPontryagin's maximum principlemultiparameter bifurcationexistence and stability of equilibrianitrogen uptakeacquatic environmentammoniumnitrogen transformation cyclepreference behaviour of phytoplankton

Mathematics Subject Classification ID

Differential games and control (49N70) Bifurcation theory for ordinary differential equations (34C23) Existence theories for optimal control problems involving ordinary differential equations (49J15) Ecology (92D40) Pursuit and evasion games (49N75)

Related Items (2)

Neural Networks Solving Free and Fixed Final Time Optimal Control Problems ⋮ Model of the nitrogen transformation cycle

Cites Work

• Applications of centre manifold theory
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