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

DOI10.1155/2013/393729zbMath1268.39019OpenAlexW2088433366WikidataQ58921551 ScholiaQ58921551MaRDI QIDQ1956047

Lin Li, Runxin Wu

Publication date: 13 June 2013

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

Full work available at URL: https://doi.org/10.1155/2013/393729

zbMATH Keywords

Lyapunov functionglobal attractivitypermanencedifference equationdiscrete predator-prey systemHassell-Varley-Holling III type functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (8)

Permanence of the periodic predator-prey-mutualist system ⋮ Permanence and global attractivity of a nonautonomous modified Leslie-gower predator-prey model with Holling-type II schemes and a prey refuge ⋮ Dynamics of a non-autonomous predator-prey system with Hassell-Varley-Holling II function response and mutual interference ⋮ Survival and ergodicity of a stochastic Holling-III predator-prey model with Markovian switching in an impulsive polluted environment ⋮ Dynamic behaviors of Lotka-Volterra predator-prey model incorporating predator cannibalism ⋮ Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge ⋮ Global attractivity of Leslie-Gower predator-prey model incorporating prey cannibalism ⋮ Dynamic behaviors of a Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species

Cites Work

• Average conditions for permanence and extinction in nonautonomous Gilpin-Ayala competition model
• Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Permanence of a discrete \(N\)-species cooperation system with time delays and feedback controls
• Permanence for a discrete model with feedback control and delay
• Global dynamics of a predator-prey model with Hassell-Varley type functional response
• Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls
• Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response
• Permanence for the discrete mutualism model with time delays
• Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model

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