Analysis of Prey-Predator Three Species Fishery Model with Harvesting Including Prey Refuge and Migration

DOI10.1142/S021812741650022XzbMath1334.34105WikidataQ114614836 ScholiaQ114614836MaRDI QIDQ2800710

Sankar Kumar Roy, Banani Roy

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

optimal controlHopf bifurcationharvestingprey-predator fisherylocal and global stabilities

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Unnamed Item
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• Modelling and qualitative analysis of a predator-prey system with state-dependent impulsive effects
• Global dynamics and bifurcation in a stage structured prey-predator fishery model with harvest\-ing
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Dynamic model and simulation analysis of the genetic impact of population harvesting
• Continuous and impulsive harvesting strategies in a stage-structured predator-prey model with time delay
• Modelling and analysis of a harvested prey--predator system incorporating a prey refuge
• On the Gause predator-prey model with a refuge: a fresh look at the history

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