Optimal states of distributed exploited populations with periodic impulse harvesting

DOI10.1134/S0081543821060079zbMath1482.35265MaRDI QIDQ2071606

Yanyan Li

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal solutionimpulse controlperiodicity in spacedistributed populationKolmogorov-Petrovsky-Piskunov-Fisher equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Impulsive partial differential equations (35R12)

Related Items

On how to exploit a population given by a difference equation with random parameters ⋮ Optimal Cyclic Dynamic of Distributed Population Under Permanent and Impulse Harvesting ⋮ Existence of a maximum of time-averaged harvesting in the KPP model on sphere with permanent and impulse harvesting ⋮ Optimal cyclic harvesting of a distributed renewable resource with diffusion

Cites Work

• Optimal cyclic harvesting of renewable resource
• Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation
• Efficiency optimization for the cyclic use of a renewable resource
• Existence of optimal stationary states of exploited populations with diffusion
• Optimal policies in the Dasgupta-Heal-Solow-Stiglitz model under nonconstant returns to scale
• Optimal cyclic exploitation of renewable resources
• Analysis of the periodically fragmented environment model. I: Species persistence
• The periodic logistic equation with spatial and temporal degeneracies
• Another view of the maximum principle for infinite-horizon optimal control problems in economics
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