Optimal harvesting for a logistic growth model with predation and a constant elasticity of variance

• Published in: Annals of operations research Vol. 260; no. 1-2; pp. 461 - 480
• Main Author: Pinheiro, S.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.01.2018; Springer; Springer Nature B.V
• Subjects: Agricultural commodities; Agricultural management; Brownian motion; Business and Management; Business logistics; Combinatorics; Commodities; Differential equations; Dynamic programming; Economic models; Elasticity; Elasticity (Economics); Fisheries; Growth models; Harvesting; Management; Operations research; Operations Research/Decision Theory; Optimal control; Predation; Renewable resources; Resource management; S.I.: Advances of OR in Commodities and Financial Modelling; Theory of Computation; Variance; Optimal harvesting; Agricultural commodities; Population dynamics; Stochastic optimal control

In this paper, we address the problem of optimal management of renewable resources such as agricultural commodities and fishery production. For that purpose, we consider the population associated with such commodities and assume that its size evolves according to a logistic growth model with a preda...