Numerical Optimal Harvesting for an Age-Dependent Prey-Predator System

DOI10.1080/01630563.2012.660591zbMath1241.92078OpenAlexW1982128518WikidataQ115551731 ScholiaQ115551731MaRDI QIDQ2895683

Răzvan Ştefănescu, Gabriel Dimitriu

Publication date: 4 July 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.660591

zbMATH Keywords

optimality conditionsfinite difference methodsnumerical algorithmsage structured population dynamics

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Applications of optimal control and differential games (49N90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40) Existence theories for optimal control problems involving partial differential equations (49J20)

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Optimal Control Problem for a Reaction-Diffusion System of Three Populations ⋮ A spatiotemporal prey-predator discrete model and optimal controls for environmental sustainability in the multifishing areas of Morocco ⋮ Controlling an alien predator population by regional controls ⋮ An optimal control problem for a two-prey and one-predator model with diffusion ⋮ Transmission dynamics and control mechanisms of vector-borne diseases with active and passive movements between urban and satellite cities

Cites Work

• Optimal control of harvesting for age-dependent predator-prey system
• On theoretical and numerical aspects of the bang-bang-principle
• Optimal harvesting for a nonlinear age-dependent population dynamics
• Optimal control of population dynamics
• Optimal control of a competitive system with age-structure
• On a population dynamics control problem with age dependence and spatial structure
• Optimal harvesting problems for age-dependent interacting species with diffusion
• Optimization of harvesting age in an integral age-dependent model of population dynamics
• Numerical Optimal Harvesting for a Periodic Age-Structured Population Dynamics with Logistic Term
• Optimal Harvesting for Periodic Age-Dependent Population Dynamics
• On the controllability of the Lotka-McKendrick model of population dynamics

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