Theory of optimal harvesting for a nonlinear size-structured population in periodic environments

DOI10.1142/S1793524514500466zbMath1329.91103OpenAlexW1997978479MaRDI QIDQ2922134

Rong Liu, Ze-Rong He

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524514500466

zbMATH Keywords

fixed pointnormal coneEkeland's principleharvestingpopulation modelbody size

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40)

Related Items (7)

Optimal harvesting for a size-stage-structured population model ⋮ Optimal harvesting for a periodic \(n\)-dimensional food chain model with size structure in a polluted environment ⋮ Optimal contraception control for a nonlinear population model with size structure and a separable mortality ⋮ Behavior analysis for a size-structured population model with Logistic term and periodic vital rates ⋮ Distributed optimal control models in environmental economics: a review ⋮ Optimal strategies to diminish a pest population via bilinear controls ⋮ Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay

Cites Work

• Effects of growth curve plasticity on size-structured population dynamics
• An optimal birth control problem for a dynamical population model with size-structure
• Structured population models in biology and epidemiology.
• Optimal control of heterogeneous systems: basic theory
• Stability results for a size-structured population model with resources-dependence and inflow
• Optimal harvesting for periodic age-dependent population dynamics with logistic term
• Optimal fishery policy for size-specific, density-dependent population models
• Optimal harvesting control problem for linear periodic age-dependent population dynamics
• Maximum Principle for Optimal Harvesting in Linear Size-Structured Population

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