Permanence of a discrete multispecies Lotka-Volterra competition predator-prey system with delays

DOI10.1016/j.nonrwa.2007.07.005zbMath1156.39302OpenAlexW2091126828MaRDI QIDQ1007747

Xiao Xing Chen, Na Fang

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.07.005

zbMATH Keywords

delaypermanencenonautonomousdiscreteLotka-Volterra competition predator-prey system

Mathematics Subject Classification ID

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

Related Items

Dynamic behavior of a predator-prey system of combined harvesting with interval-valued rate parameters ⋮ Global stability of periodic solutions for a discrete predator-prey system with functional response ⋮ Bifurcation analysis and chaos control in a discrete-time parasite-host model ⋮ Stability and bifurcation analysis for a discrete-time model of Lotka-Volterra type with delay ⋮ Nabla inequalities and permanence for a logistic integrodifferential equation on time scales ⋮ The persistence and global attractivity in general nonautonomous discrete single-species Kolmogorov model with delays ⋮ Discrete-time predator-prey model with bifurcations and chaos ⋮ Stability and bifurcation of two kinds of three-dimensional fractional Lotka-Volterra systems ⋮ Almost periodic solution of a multispecies discrete mutualism system with feedback controls ⋮ Dynamic complexities in a discrete predator-prey system with lower critical point for the prey ⋮ Permanence criteria for general delayed discrete nonautonomous \(n\)-species Kolmogorov systems and its applications ⋮ Positive periodic solution of a nonlinear integro-differential prey-competition impulsive model with infinite delays ⋮ Bifurcations and chaos control in a discrete-time biological model ⋮ Bifurcation analysis and control of a class of hybrid biological economic models

Cites Work

• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Harmless delays for uniform persistence
• Uniform persistence and periodic solutions for a discrete predator-prey system with delays
• 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 for a discrete time Lotka-Volterra type food-chain model with delays
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• Persistence of species obeying difference equations
• Uniform persistence in functional differential equations
• Delayed density dependence and the stability of interacting populations and subpopulations
• Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system
• A discrete periodic Lotka-Volterra system with delays
• Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type.
• Stable periodic solution of a discrete periodic Lotka-Volterra competition system
• Permanence and global attractivity for Lotka-Volterra difference systems
• Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
• Permanence and global attractivity for competitive Lotka–Volterra systems with delay
• A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
• Global stability of discrete population models with time delays and fluctuating environment