Food chain model with optimal harvesting in fuzzy environment
type: Item
instance of: scholarly article
title: Food chain model with optimal harvesting in fuzzy environment
zbMATH Open document ID: 1208.34077
author: D. Kharzeev
published in: Journal of Applied Mathematics and Computing
publication date: 2010-10-26T00:00:00Z
review text: For a system of three logistic-type differential equations describing the dynamics of a predator, prey and a super predator under proportional harvesting of all species, conditions for global stability are derived by using Lyapunov's direct method. Existence of a bio-economic equilibrium and optimal harvesting policy under imprecise inflation in a fuzzy environment are also studied. A numerical example is considered in the final part of the paper.
reviewed by: Svitlana P. Rogovchenko
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 5805982
zbMATH Keywords: predator-prey model
zbMATH Keywords: super predator
zbMATH Keywords: equilibrium points
zbMATH Keywords: stability
zbMATH Keywords: harvesting
zbMATH Keywords: optimal control
MaRDI profile type: Publication
full work available at URL: s12190-009-0301-2
OpenAlex ID: W1974924164
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DOI: 10.1007/S12190-009-0301-2
description: scientific article; zbMATH DE number 5805982