Permanence for a delayed discrete ratio-dependent predator-prey model with monotonic functional responses

DOI10.1016/j.nonrwa.2007.11.022zbMath1167.34359OpenAlexW2060089293MaRDI QIDQ837694

Xuepeng Li, Wensheng Yang

Publication date: 20 August 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.2007.11.022

zbMATH Keywords

permanencepredator-prey modelratio-dependentmonotonic functional responses

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) General theory of functional-differential equations (34K05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (14)

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model ⋮ GLOBAL ASYMPTOTIC STABILITY FOR A TWO-SPECIES DISCRETE RATIO-DEPENDENT PREDATOR–PREY SYSTEM ⋮ Про перманентність дискретної системи моделі хижак-жертва з немонотонною функцією впливу та нескінченним запізненням ⋮ Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system ⋮ Multiple periodic solutions of a ratio-dependent predator-prey discrete model ⋮ Bifurcations and stability of a discrete singular bioeconomic system ⋮ Uniform persistence for a discrete predator-prey system with delays ⋮ Multiple bifurcations and chaos in a discrete prey-predator system with generalized Holling III functional response ⋮ Almost periodic sequence solutions of a discrete predator-prey system with Beddington-DeAngelis functional response ⋮ Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays ⋮ Analysis of stability for a discrete ratio-dependent predator-prey system ⋮ Permanence of a discrete \(n\)-species cooperation system with time-varying delays and feedback controls ⋮ Permanence of a discrete nonlinear prey-competition system with delays ⋮ On a generalized discrete ratio-dependent predator-prey system

Cites Work

• Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems
• Permanence for a delayed discrete three-level food-chain model with Beddington-DeAngelis functional response
• Permanence in delayed ratio-dependent predator-prey models with monotonic functional responses
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