STABILITY AND HOPF BIFURCATIONS IN A DELAYED PREDATOR–PREY SYSTEM WITH A DISTRIBUTED DELAY

DOI10.1142/S0218127409024062zbMath1176.34105WikidataQ115523853 ScholiaQ115523853MaRDI QIDQ3649638

Cun-Hua Zhang, Xiang-Ping Yan

Publication date: 4 December 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionHopf bifurcationdistributed delayLotka-Volterra predator-prey system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (2)

Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay ⋮ Effects of delay in a biological environment subject to tumor dynamics

Cites Work

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• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• Periodic solution for a predator-prey system with distributed delay
• Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
• Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
• Bifurcation analysis in a predator\,-\,prey system with time delay
• Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
• Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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