A spatial food chain model for the black sea anchovy, and its optimal fishery

DOI10.3934/dcdsb.2020373zbMath1468.35211OpenAlexW3111506801MaRDI QIDQ2026602

Mahir Demir, Suzanne M. Lenhart

Publication date: 20 May 2021

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.2020373

zbMATH Keywords

optimal controlpartial differential equationsfishery managementfood chain modelblack sea anchovyspatial harvesting

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ecology (92D40)

Related Items (2)

On the optimal harvesting strategy for a generalized population model ⋮ The structure of optimal solutions for harvesting a renewable resource

Cites Work

• Advection control in parabolic PDE systems for competitive populations
• Optimal vaccine distribution in a spatiotemporal epidemic model with an application to rabies and raccoons
• Harvesting and conservation in a predator-prey system
• Compact sets in the space \(L^ p(0,T;B)\)
• A numerical method for solving parabolic equations with opposite orientations
• The economics of harvesting predator-prey systems
• OPTIMAL HARVESTING OF A SPATIALLY EXPLICIT FISHERY MODEL
• OPTIMAL DYNAMIC HARVEST OF A MOBILE RENEWABLE RESOURCE
• Harvesting in a two-prey one-predator fishery: a bioeconomic model
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