Bifurcation behaviours in a delayed three-species food-chain model with Holling type-II functional response

DOI10.1080/00036811.2012.742187zbMath1307.34125OpenAlexW2057037299WikidataQ58160403 ScholiaQ58160403MaRDI QIDQ5404676

Chang-Jin Xu, Maoxin Liao

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.742187

zbMATH Keywords

stabilitytime delayHopf bifurcationpredator-prey modelHolling type-II functional response

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) 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)

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Cites Work

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• Existence of traveling wave solutions for diffusive predator-prey type systems
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• A stage-structured predator-prey system with time delay
• Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments
• Periodic solution for a delayed three-species food-chain system with Holling type-II functional response
• Stability and Hopf bifurcation in a delayed competitive web sites model
• Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays
• Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
• Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay
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• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems

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