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Optimal harvesting policies for a generalized Gordon–Schaefer model in randomly varying environment

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  • M. A. Shah
  • Usha Sharma

Abstract

A non‐linear stochastic model has been proposed and analized for fish harvesting. The model encompasses Gordon–Schaefer model and Pella–Tomlinson model that have been used in the study of extensive data on baleen whales, harp seals and Gulf of St. Lawrence cod. It has been established that the harvesting of those species is more profitable in terms of biomass for which data supports α>2, as compared to that for which α⩽2, where α is general index in the model: $${{\rm d}n(t) \over {\rm d}t} = {rn(t)} {\left[ {1- \left\{{{n(t)} \over {K}} \right\}^{\alpha-1}} \right]}$$ Copyright © 2003 John Wiley & Sons, Ltd.

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  • M. A. Shah & Usha Sharma, 2003. "Optimal harvesting policies for a generalized Gordon–Schaefer model in randomly varying environment," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 19(1), pages 43-49, January.
    • Handle: RePEc:wly:apsmbi:v:19:y:2003:i:1:p:43-49
    DOI: 10.1002/asmb.490
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    Cited by:

    1. Nuno M. Brites, 2022. "Optimal Harvesting of Stochastically Fluctuating Populations Driven by a Generalized Logistic SDE Growth Model," Mathematics, MDPI, vol. 10(17), pages 1-15, August.

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