Maximum Principle for Optimal Harvesting in Linear Size-Structured Population

DOI10.1080/08898480802010241zbMath1166.92322OpenAlexW2027584723MaRDI QIDQ3520247

Nobuyuki Kato

Publication date: 15 August 2008

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898480802010241

zbMATH Keywords

maximum principlebang-bang controloptimal harvestingsize-structured population

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (10)

Theory of optimal harvesting for a nonlinear size-structured population in periodic environments ⋮ Optimal harvesting in a periodic food chain model with size structures in predators ⋮ Solvability of integral equations with endogenous delays ⋮ Optimal contraception control for a nonlinear vermin population model with size-structure ⋮ Optimal contraception control problems in a nonlinear size-structured vermin model ⋮ Harvesting renewable resources of population with size structure and diffusion ⋮ Optimal harvesting in forestry: steady-state analysis and climate change impact ⋮ Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability ⋮ Optimal harvesting of a hierarchical age-structured population system ⋮ Theory of optimal harvesting for a size structured model of fish

Cites Work

• Unnamed Item
• Pontryagin's principle for control problems in age-dependent population dynamics
• On the optimal harvesting of persistent age-structured populations
• Optimal harvesting of an age-structured population
• Optimization of harvesting age in an integral age-dependent model of population dynamics

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