Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability

DOI10.1080/08898480.2010.514851zbMath1204.91072OpenAlexW2056872033MaRDI QIDQ3072369

Yuri Yatsenko, Natali Hritonenko

Publication date: 3 February 2011

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

Full work available at URL: https://doi.org/10.1080/08898480.2010.514851

zbMATH Keywords

harvestingpartial differential equationsage-structured populationssize-structured populationsvintage capital modelsmedical capital investment

Mathematics Subject Classification ID

Economic growth models (91B62) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Existence theories for optimal control problems involving partial differential equations (49J20) Mathematical geography and demography (91D20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (9)

Generalized functions in the qualitative study of heterogeneous populations ⋮ Convergence of optimal harvesting policies to a normal forest ⋮ Solvability of integral equations with endogenous delays ⋮ Existence of measure-valued solutions in optimal control of age-structured populations ⋮ Optimal harvesting in forestry: steady-state analysis and climate change impact ⋮ Optimal control of investments in old and new capital under improving technology ⋮ A mathematical model of tree harvesting in age-structured forests subject to beetle infestations ⋮ OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL ⋮ BANG-BANG, IMPULSE, AND SUSTAINABLE HARVESTING IN AGE-STRUCTURED POPULATIONS

Cites Work

• Unnamed Item
• Stability analysis of Volterra integral equations with applications to age-structured population models
• The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning
• Size-structured plant population models and harvesting problems
• Maximum principle for a size-structured model of forest and carbon sequestration management
• Control of an epidemic spreading in a heterogeneously mixing population
• Pontryagin's principle for control problems in age-dependent population dynamics
• On the optimal harvesting of age-structured populations: Some simple models
• Optimal harvesting of an age-structured population
• Optimal harvesting for a nonlinear age-dependent population dynamics
• Environmental policy and competitiveness: The Porter hypothesis and the composition of capital
• Optimal control of population dynamics
• Optimal harvesting with both population and price dynamics
• The McKendrick partial differential equation and its uses in epidemiology and population study
• Optimal control of a competitive system with age-structure
• Optimal vaccination patterns in age-structured populations: endemic case.
• Optimal harvesting for nonlinear age-dependent population dynamics
• Anticipation effects of technological progress on capital accumulation: a vintage capital approach
• The structure of optimal time- and age-dependent harvesting in the Lotka-McKendrik population model
• Can Technological Change Sustain Retirement in an Aging Population?
• Maximum Principle for Optimal Harvesting in Linear Size-Structured Population
• Global Dynamics and Optimal Life History of a Structured Population Model
• Growth Economics of Epidemics: A Review of the Theory

This page was built for publication: Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability