Stability and local Hopf bifurcation for a predator-prey model with delay

DOI10.1155/2012/252437zbMath1248.34049OpenAlexW2135178978WikidataQ58700410 ScholiaQ58700410MaRDI QIDQ714218

Xiaoqing Wang, Yakui Xue

Publication date: 19 October 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/252437

zbMATH Keywords

predator-prey systemlocal analysisHopf bifurcation analysis

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Stability and Hopf bifurcation analysis for a Gause-type predator-prey system with multiple delays ⋮ Bifurcation analysis of a three-species ecological system with time delay and harvesting ⋮ Stability and nonlinear dynamics in a Solow model with pollution ⋮ Stability and Hopf bifurcation for a delayed SIR epidemic model with logistic growth

Cites Work

• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
• Hopf bifurcation in REM algorithm with communication delay
• Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
• Hopf bifurcation and stability for a delayed tri-neuron network model
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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