Optimal spatial harvesting strategy and symmetry-breaking

DOI10.1007/s00245-007-9032-7zbMath1178.35383OpenAlexW2069493653MaRDI QIDQ1024722

Junping Shi, Kazuhiro Kurata

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00245-007-9032-7

zbMATH Keywords

harvestingreaction-diffusionsymmetry breakingoptimal spatial effort function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Ecology (92D40) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (12)

Allee effect and bistability in a spatially heterogeneous predator-prey model ⋮ Rearrangement minimization problems with indefinite external forces ⋮ A diffusive predator-prey model with a protection zone ⋮ Optimal control of growth coefficient on a steady-state population model ⋮ Analyticity of free boundary in an optimal harvesting problem ⋮ Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations ⋮ Optimal harvesting strategy based on rearrangements of functions ⋮ A general existence theorem for a multi-valued control problem ⋮ An optimal control problem for a biological population model with diffusion and infectious disease ⋮ Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management ⋮ Optimization of the First Eigenvalue of Equations with Indefinite Weights ⋮ OPTIMAL HARVESTING OF A SPATIALLY EXPLICIT FISHERY MODEL

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