A stage-structured predator-prey system with time delay

DOI10.1007/S12190-009-0286-XzbMath1220.34104OpenAlexW2093444562WikidataQ115601718 ScholiaQ115601718MaRDI QIDQ980430

Rui Xu, Guang-Hui Feng, Ling-Shu Wang

Publication date: 29 June 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0286-x

zbMATH Keywords

stabilityHopf bifurcationstage structurepredator-prey system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) 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)

Related Items (4)

Unnamed Item ⋮ Stability and Hopf bifurcation in a reaction-diffusion predator-prey system with interval biological parameters and stage structure ⋮ Bifurcation behaviours in a delayed three-species food-chain model with Holling type-II functional response ⋮ Sustaining of two competing products under the impact of the media including the experience of adopters

Cites Work

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• Delay differential equations: with applications in population dynamics
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Discrete delay, distributed delay and stability switches
• Introduction to functional differential equations
• Hopf bifurcation analysis in a delayed Nicholson blowflies equation
• Hopf bifurcation in a Volterra prey--predator model with strong kernel
• The effect of stage-structure on the permanence of a predator-prey system with time delay
• Symmetric functional differential equations and neural networks with memory

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