Food chain model with optimal harvesting in fuzzy environment

DOI10.1007/s12190-009-0301-2zbMath1208.34077OpenAlexW1974924164MaRDI QIDQ711500

D. Kharzeev

Publication date: 26 October 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0301-2

zbMATH Keywords

stabilityoptimal controlequilibrium pointsharvestingpredator-prey modelsuper predator

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Bioeconomic dynamics of a fishery modeled as an S-system
• The dynamics of a food web consisting of two preys and a harvesting predator
• A three stage population model with cannibalism
• Nearest interval approximation of a fuzzy number
• Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model
• A ratio-dependent food chain model and its applications to biological control.
• A numerical approach to a multi-objective optimal inventory control problem for deteriorating multi-items under fuzzy inflation and discounting
• RICH DYNAMICS OF A TIME-DELAYED FOOD CHAIN MODEL
• Harvesting in a two-prey one-predator fishery: a bioeconomic model
• On a Food Web Consisting of a Specialist and a Generalist Predator
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