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Stability and Sensitive Analysis of a Model with Delay Quorum Sensing

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  • Zhonghua Zhang
  • Yaohong Suo
  • Juan Zhang

Abstract

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.

Suggested Citation

  • Zhonghua Zhang & Yaohong Suo & Juan Zhang, 2015. "Stability and Sensitive Analysis of a Model with Delay Quorum Sensing," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:964735
    DOI: 10.1155/2015/964735
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    References listed on IDEAS

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    1. Zhang, Zhonghua & Peng, Jigen & Zhang, Juan, 2009. "Melnikov method to a bacteria-immunity model with bacterial quorum sensing mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 414-420.
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