Optimal harvesting in age-structured populations

DOI10.1007/BF00940318zbMath0795.92031OpenAlexW2010504557MaRDI QIDQ1321227

Negash G. Medhin

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940318

zbMATH Keywords

optimal harvestingbifurcation parameterage-structured populationsinfinite-horizon problemfinite-horizon problems

Mathematics Subject Classification ID

Differential games and control (49N70) Economic growth models (91B62) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40) Pursuit and evasion games (49N75)

Related Items

OVERTAKING OPTIMAL HARVESTING OF AGE-STRUCTURED PREDATOR-PREY SYSTEMS ⋮ Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion ⋮ On the optimal harvesting of size-structured population dynamics ⋮ Optimality conditions for age-structured control systems. ⋮ Population growth and Nash equilibria under viability constraints in the commons ⋮ On the controllability of the Lotka-McKendrick model of population dynamics ⋮ Optimal birth control of age-dependent competitive species. II: Free horizon problems ⋮ Unnamed Item ⋮ Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay

Cites Work

• Viable controls in age-dependent population dynamics
• Pontryagin's principle for control problems in age-dependent population dynamics
• On the optimal harvesting of persistent age-structured populations
• Optimal birth control of population dynamics. II: Problems with free final time, phase constraints, and mini-max costs
• Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps