Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response

DOI10.1155/2009/323065zbMath1178.39006OpenAlexW2162156981WikidataQ58647455 ScholiaQ58647455MaRDI QIDQ1040115

Runxin Wu, Lin Li

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226989

zbMATH Keywords

Lyapunov functionglobal attractivitypermanenceHassell-Varley type functional responsediscrete predator-prey system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12)

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Cites Work

• Unnamed Item
• Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control
• Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems
• Permanence of a discrete \(N\)-species cooperation system with time delays and feedback controls
• Permanence of a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls
• Global dynamics of a predator-prey model with Hassell-Varley type functional response
• On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion
• Permanence in a discrete Lotka-Volterra competition model with deviating arguments
• Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls
• Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls
• Stable periodic solutions in a discrete periodic logistic equation
• Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay
• Permanence and global attractivity of the discrete Gilpin-Ayala type population model
• Permanence for the discrete mutualism model with time delays
• Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
• Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model
• Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse
• PERMANENCE FOR A DISCRETE NICHOLSON'S BLOWFLIES MODEL WITH FEEDBACK CONTROL AND DELAY