Maximum principle for the optimal harvesting problem of a size-stage-structured population model
DOI10.3934/dcdsb.2021245zbMath1501.35407OpenAlexW3209496946MaRDI QIDQ2090377
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021245
Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Control/observation systems governed by ordinary differential equations (93C15) Computational methods for problems pertaining to biology (92-08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
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- Dynamics and management of stage-structured fish stocks
- Optimal harvesting of a stochastic delay competitive model
- Analysis and optimal control of an HIV model based on CD4 count
- The systematic formulation of population models for insects with dynamically varying instar duration
- On the optimal harvesting of persistent age-structured populations
- Optimal harvesting of stochastically fluctuating populations
- A structured population model and a related functional differential equation: Global attractors and uniform persistence
- Existence and uniqueness of global solutions for a size-structured model of an insect population with variable instar duration
- Optimal harvesting for a size-stage-structured population model
- A system of state-dependent delay differential equation modelling forest growth. II: Boundedness of solutions
- Optimal harvesting and stability for a prey-predator model
- Global stability analysis and optimal control therapy of blood cell production process (hematopoiesis) in acute myeloid leukemia
- Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study
- Optimal control of treatments in a two-strain tuberculosis model
- Optimal impulsive harvesting policy for single population
- Equivalent dynamics for a structured population model and a related functional differential equation
- Model-based on fishery management systems with selective harvest policies
- Optimal harvesting in a periodic food chain model with size structures in predators
- Competition for light in forest population dynamics: from computer simulator to mathematical model
- Optimal harvesting for age distribution and weighted size competitive species with diffusion
- An age-structured model with immune response of HIV infection: modeling and optimal control approach
- Optimal harvesting for nonlinear size-structured population dynamics
- An NPZ Model with State-Dependent Delay Due to Size-Structure in Juvenile Zooplankton
- Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems
- Control Strategies for TB Epidemics
- Optimal harvesting and stability for two-species competitive system with stage structure
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