Hopf bifurcation in a Volterra prey--predator model with strong kernel

DOI10.1016/j.chaos.2004.02.048zbMath1073.34086OpenAlexW2049069733WikidataQ115580062 ScholiaQ115580062MaRDI QIDQ1772612

Shaowen Li, Xiaofeng Liao, Chunguang Li

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.048

zbMATH Keywords

Hopf bifurcationdistributed delaysprey-predator model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Predator prey interactions with time delays
• Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model
• Hopf bifurcation on a two-neuron system with distributed delays: a frequency domain approach
• Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations.
• Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model
• Computations of limit cycles via higher-order harmonic balance approximation
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Harmonic balance and the Hopf bifurcation
• FREQUENCY DOMAIN APPROACH TO COMPUTATION AND ANALYSIS OF BIFURCATIONS AND LIMIT CYCLES: A TUTORIAL
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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