Optimization problems related to water quality control in aquatic ecosystems

DOI10.1016/0898-1221(89)90004-7zbMath0687.92019OpenAlexW2061683723MaRDI QIDQ1263546

M. N. Antonios

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90004-7

zbMATH Keywords

nitrogenaquatic ecosystemsconsumer density-dependent grazingnutrient cyclephosphorus concentrationssingle nutrient modeltwo-trophic level aquatic ecosystem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• Nutrient- and density-dependent effects in a producer-consumer model
• A mathematical model of two-trophic-level aquatic systems with two complementary nutrients
• Optimal control of a prey-predator system
• On the control of certain interacting populations
• Economically optimal policies for the utilization of biologically renewable resources
• A Sufficient Condition in the Theory of Optimal Control
• On the optimality of the boundary control for the non-linear control system with controls appearing linearly†
• Iterative Solution of Nonlinear Optimal Control Problems

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