Permanence and global attractivity of a discrete semi-ratio dependent predator-prey system with Holling II type functional response

DOI10.1007/s12190-009-0277-yzbMath1213.49046OpenAlexW2047094529WikidataQ115601721 ScholiaQ115601721MaRDI QIDQ980419

Chun Lu, Li-Jie Zhang

Publication date: 29 June 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0277-y

zbMATH Keywords

global stabilityperiodic solutionpermanencediscrete

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Global stability of solutions to ordinary differential equations (34D23) Discrete approximations in optimal control (49M25) Pursuit and evasion games (49N75)

Related Items (12)

Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response ⋮ Bifurcation analysis and chaos control in a discrete-time parasite-host model ⋮ Multiple periodic solutions of a ratio-dependent predator-prey discrete model ⋮ Alternative Resource and Harvesting in Predator-prey Dynamics: Analyzing a Delay Model ⋮ Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls ⋮ Discrete-time predator-prey model with bifurcations and chaos ⋮ Dynamic complexities in a discrete predator-prey system with lower critical point for the prey ⋮ Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays ⋮ On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting ⋮ Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls ⋮ Dynamics of a Discrete Prey–Predator Model with Mixed Functional Response ⋮ Bifurcations and chaos control in a discrete-time biological model

Cites Work

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• Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model
• Permanence and global stability for nonautonomous discrete model of plankton allelopathy.
• Stable periodic solution of a discrete periodic Lotka-Volterra competition system
• Dynamics of a class of nonautonomous semi-ratio-dependent predator--prey systems with functional responses
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems
• A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays

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