Optimal harvesting of a logistic population in an environment with stochastic jumps
type: Item
instance of: scholarly article
title: Optimal harvesting of a logistic population in an environment with stochastic jumps
zbMATH Open document ID: 0592.92025
DOI: 10.1007/BF00275637
author: Dennis Ryan
author: Floyd B. Hanson
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 90C39
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 3952567
zbMATH Keywords: exploited renewable resource
zbMATH Keywords: uncertain environments
zbMATH Keywords: logistic
zbMATH Keywords: growth
zbMATH Keywords: changes in population size
zbMATH Keywords: optimal harvest strategy
zbMATH Keywords: Poisson process
zbMATH Keywords: Bellman equation
zbMATH Keywords: optimal feedback control
zbMATH Keywords: random jump model
zbMATH Keywords: quasi- deterministic approximation
zbMATH Keywords: discount rate
zbMATH Keywords: total jump rate
zbMATH Keywords: quadratic cost factor
MaRDI profile type: Publication
Wikidata QID: Q52429784
cites work: Q3698196
cites work: Singular optimal control problems
cites work: Q4139908
cites work: Mathematical Models in the Economics of Renewable Resources
cites work: The Optimal Exploitation of Renewable Resource Stocks: Problems of Irreversible Investment
cites work: Q5588281
cites work: Q5653395
cites work: Optimal harvesting in continuous time with stochastic growth
cites work: Analysis of a singular functional differential equation that arises from stochastic modeling of population growth
cites work: Persistence times of populations with large random fluctuations
cites work: Logistic growth with random density independent disasters
cites work: A discrete time population control model
cites work: Cheap control of the time-invariant regulator
cites work: Q3903596
cites work: Controlling stock externalities in a common property fishery subject to uncertainty
cites work: Optimal Harvesting of a Randomly Fluctuating Resource. I: Application of Perturbation Methods
cites work: Optimal Harvesting of a Randomly Fluctuating Resource. II: Numerical Methods and Results
cites work: A mathematical theory for the harvest of natural animal populations when birth rates are dependent on total population size
cites work: Optimal harvesting strategies for stochastic single-species, multiage class models
cites work: A stochastic model for the economic management of a renewable animal resource
cites work: Optimal escapement levels in stochastic and deterministic harvesting models
cites work: Economic optimization in controlled fisheries
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description: scientific article; zbMATH DE number 3952567