A bacteria-immunity system with delayed quorum sensing

DOI10.1007/s12190-008-0167-8zbMath1180.34097OpenAlexW2058155437MaRDI QIDQ1032008

J. Blot

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0167-8

zbMATH Keywords

stabilityHopf bifurcationimmunityquorum sensing

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (1)

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

Cites Work

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• Sturm's method in counting roots of random polynomial equations
• Delay differential equations: with applications in population dynamics
• Mathematical modelling of therapies targeted at bacterial quorum sensing
• Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production
• Global stability in chemostat-type plankton models with delayed nutrient recycling
• Global dynamics of a chemostat competition model with distributed delay
• An allelopathic competition model with quorum sensing and delayed toxicant production

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