Open Access
2015 Stability and Sensitive Analysis of a Model with Delay Quorum Sensing
Zhonghua Zhang, Yaohong Suo, Juan Zhang
Abstr. Appl. Anal. 2015: 1-11 (2015). DOI: 10.1155/2015/964735


This paper formulates a delay model characterizing the competition between bacteria and immune system. The center manifold reduction method and the normal form theory due to Faria and Magalhaes are used to compute the normal form of the model, and the stability of two nonhyperbolic equilibria is discussed. Sensitivity analysis suggests that the growth rate of bacteria is the most sensitive parameter of the threshold parameter R0 and should be targeted in the controlling strategies.


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Zhonghua Zhang. Yaohong Suo. Juan Zhang. "Stability and Sensitive Analysis of a Model with Delay Quorum Sensing." Abstr. Appl. Anal. 2015 1 - 11, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1344.92106
MathSciNet: MR3321561
Digital Object Identifier: 10.1155/2015/964735

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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