Optimal harvesting with exponential growth in an environment with random disasters and bonanzas

DOI10.1016/0025-5564(85)90024-0zbMath0568.92019OpenAlexW2060879245MaRDI QIDQ1061053

Dennis Ryan, Floyd B. Hanson

Publication date: 1985

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(85)90024-0

zbMATH Keywords

Poisson processexponential growthoptimal harvestingconstant effort harvestingMalthusianaverage random jump modelconstant effort open loop policydensity independent propertiesdeterministic jump modelexact solution for the expected present valueoptimal discounted present value of an exploited populationrandom bonanzasrandom disasters

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Operations research and management science (90B99)

Related Items (3)

Convergence rates for semistochastic processes ⋮ Mean and quasideterministic equivalence for linear stochastic dynamics ⋮ Optimal harvesting with both population and price dynamics

Cites Work

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• Analysis of a singular functional differential equation that arises from stochastic modeling of population growth
• A systematic approach to determining mean-variance tradeoffs when managing randomly varying populations
• Logistic growth with random density independent disasters
• A stochastic model for the economic management of a renewable animal resource
• Optimal harvesting in continuous time with stochastic growth
• Persistence times of populations with large random fluctuations
• A mathematical theory for the harvest of natural animal populations when birth rates are dependent on total population size
• A discrete time population control model
• Optimal Harvesting of a Randomly Fluctuating Resource. I: Application of Perturbation Methods
• Mathematical Models in the Economics of Renewable Resources

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