Optimal control for a class of nonlinear age-distributed population systems

DOI10.1016/J.AMC.2009.04.018zbMath1168.92040OpenAlexW2075609608MaRDI QIDQ833151

Jun-Jie Chen, Ze-Rong He

Publication date: 12 August 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.018

zbMATH Keywords

optimal controlnormal coneEkeland's principlespeciesage structure

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) Population dynamics (general) (92D25)

Related Items (4)

Necessary optimality conditions for three species reaction-diffusion system ⋮ Control of age-structured population dynamics with intraspecific competition in context of bioreactors ⋮ Tracking-control for age-structured population dynamics with self-competition governed by integro-PDEs ⋮ Optimal control of stochastic system with fractional Brownian motion

Cites Work

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• Maximum sustainable yield of a nonlinear population model with continuous age structure
• Optimal harvesting control problem for an age-dependent competing system of \(n\) species
• Optimal harvesting problem for an age-dependent \(n\)-dimensional food chain diffusion model
• Pontryagin's principle for control problems in age-dependent population dynamics
• Optimal harvesting of an age-structured population
• Optimal control of population dynamics
• Optimal harvesting for nonlinear age-dependent population dynamics
• On the controllability of the Lotka-McKendrick model of population dynamics

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