Dynamic properties of a delayed predator-prey system with Ivlev-type functional response

DOI10.1007/s11071-015-2523-1zbMath1354.37095OpenAlexW2175046506WikidataQ115603225 ScholiaQ115603225MaRDI QIDQ332796

Yao-Lin Jiang, Yuxian Chen, Wei Liu

Publication date: 9 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2523-1

zbMATH Keywords

stabilityperiodic solutionstime delaybifurcationpredator-prey system

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Population dynamics (general) (92D25) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (3)

Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response ⋮ Dynamics of an eco-epidemiological system with disease in competitive prey species ⋮ The general chemostat model with multiple nutrients and flocculating agent: from deterministic behavior to stochastic forcing transition

Cites Work

• Non-selective harvesting in prey--predator models with delay
• Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations.
• Bifurcation analysis in a discrete differential-algebraic predator-prey system
• Bifurcation and chaotic behavior of a discrete singular biological economic system
• Persistence in nonautonomous predator--prey systems with infinite delays
• Bifurcations and stability of a discrete singular bioeconomic system
• Hopf bifurcation of a predator-prey system with predator harvesting and two delays
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