Hopf bifurcation in a partial dependent predator-prey system with delay

DOI10.1016/J.CHAOS.2009.02.025zbMath1198.34148OpenAlexW2083780853WikidataQ115579947 ScholiaQ115579947MaRDI QIDQ603639

Huitao Zhao, Yiping Lin

Publication date: 8 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.02.025

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Bifurcation theory of functional-differential equations (34K18)

Related Items (5)

Bifurcation dynamics of a plant-pest-natural enemy system in polluted environment incorporating gestation delays ⋮ Rank One Strange Attractors in Periodically Kicked Predator–Prey System with Time-Delay ⋮ Control of Hopf bifurcation and chaos in a delayed Lotka-Volterra predator-prey system with time-delayed feedbacks ⋮ Bifurcation in Plant-Pest-Natural Enemy Interaction Dynamics with Gestation Delay for Both Pest and Natural Enemy ⋮ Stability switching dynamics of a food chain system incorporating gestation delays

Cites Work

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• Stability and Hopf bifurcation for an epidemic disease model with delay
• Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback.
• The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays
• Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays
• Stability for a competitive Lotka-Volterra system with delays
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Bifurcations for a predator-prey system with two delays
• Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system

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