Stability and optimal exploitation over an infinite time horizon of interacting populations

DOI10.1002/oca.4660030303zbMath0556.92019OpenAlexW2165214940MaRDI QIDQ3222000

Alain B. Haurie

Publication date: 1982

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660030303

zbMATH Keywords

harvestinginfinite time horizonpest controlturnpike propertyinteracting speciesextremal steady stateasymptotic stability of optimal trajectoriesovertaking trajectory

Mathematics Subject Classification ID

Economic growth models (91B62) Existence theories for optimal control problems involving ordinary differential equations (49J15) Ecology (92D40) Existence theories in calculus of variations and optimal control (49J99)

Related Items (5)

Harvesting discrete nonlinear age and stage structured populations ⋮ OVERTAKING OPTIMAL HARVESTING OF AGE-STRUCTURED PREDATOR-PREY SYSTEMS ⋮ Production models for nonlinear stochastic age-structured fisheries ⋮ Convex-concave utility function: Optimal blood-consumption for vampires ⋮ Optimal and feedback strategies for managing multicohort populations

Cites Work

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• Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems
• Optimal control of a prey-predator system
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• The structure and stability of competitive dynamical systems
• On harvesting two competing populations
• Optimal Control of Nonlinear Population Dynamics
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• Pest Management Programs via Optimal Control Theory
• Further Aspects of Turnpike Theory in Continuous Time With Applications
• Turnpike Theory
• Turnpike Properties for the Optimal Use of a Natural Resource
• Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium

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