Hopf bifurcation direction of a delayed bacteria-immunity system with quorum sensing mechanism

DOI10.1016/j.nonrwa.2009.07.015zbMath1206.34105OpenAlexW1969707069MaRDI QIDQ984527

J. Martínez

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.07.015

zbMATH Keywords

delayHopf bifurcationquorum sensing

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 (1)

Stability and sensitive analysis of a model with delay quorum sensing

Cites Work

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• Mathematical modelling of therapies targeted at bacterial quorum sensing
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• Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4\(^+\) T-cells
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Stability and Hopf bifurcation in a delayed competitive web sites model
• Analysis of a bacteria-immunity model with delay quorum sensing
• An allelopathic competition model with quorum sensing and delayed toxicant production

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