Permanence for the Michaelis--Menten type discrete three-species ratio-dependent food chain model with delay

DOI10.1016/j.jmaa.2005.12.060zbMath1101.92048OpenAlexW1987657595MaRDI QIDQ855677

Na Zhang, Binxiang Dai, Jie Zhong Zou

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.060

zbMATH Keywords

permanenceratio-dependentdiscrete predator--prey model

Mathematics Subject Classification ID

Related Items (9)

Permanence for a delayed discrete three-level food-chain model with Beddington-DeAngelis functional response ⋮ DYNAMICS IN A FRACTIONAL ORDER PREDATOR–PREY MODEL INVOLVING MICHAELIS–MENTEN-TYPE FUNCTIONAL RESPONSE AND BOTH UNEQUAL DELAYS ⋮ Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling type III functional response ⋮ Qualitative behavior of \(n\)-dimensional ratio-dependent predator-prey systems ⋮ Positive periodic solutions for a neutral delay ratio-dependent predator-prey model with a Holling type II functional response ⋮ Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls ⋮ Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response ⋮ An impulsive ratio-dependent \(n+1\)-species predator-prey model with diffusion ⋮ Stability in a simple food chain system with Michaelis-Menten functional response and nonlocal delays

Cites Work

• Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response
• On the existence of positive solutions of higher order difference equations
• Global stability in two species interactions
• Global stability of two species systems
• Global dynamics of a ratio-dependent predator-prey system
• Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay
• A ratio-dependent food chain model and its applications to biological control.
• Periodic solutions of a ratio-dependent food chain model with delays
• Remarks on food chain dynamics
• Stability and delays in a predator-prey system
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
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