Existence of optimal stationary states of exploited populations with diffusion

DOI10.1134/S0081543820050090zbMath1453.92239OpenAlexW3112310448MaRDI QIDQ2214284

Alexey Davydov

Publication date: 8 December 2020

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

Full work available at URL: https://doi.org/10.1134/s0081543820050090

zbMATH Keywords

diffusionparabolic equationpopulation dynamicsconstant harvesting

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items

On how to exploit a population given by a difference equation with random parameters, About the methods of renewable resourse extraction from the structured population, 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, Optimal states of distributed exploited populations with periodic impulse harvesting, About the methods of extracting a biological resource that provide the maximum average time benefit

Cites Work

• The Pontryagin maximum principle and problems of optimal economic growth
• Optimization in mean and phase transitions in controlled dynamical systems
• Infinite time optimal control and periodicity
• Optimal cyclic exploitation of renewable resources
• Analysis of the periodically fragmented environment model. I: Species persistence
• Generic phase transitions and profit singularities in Arnol'd's model
• Another view of the maximum principle for infinite-horizon optimal control problems in economics
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