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Melnikov method to a bacteria-immunity model with bacterial quorum sensing mechanism

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  • Zhang, Zhonghua
  • Peng, Jigen
  • Zhang, Juan

Abstract

A bacteria-immunity model with bacterial quorum sensing is formulated, which describes the competition between bacteria and immune cells. After periodic perturbation and a series of coordinate transformations, the model is brought into a standard form, and which is amenable to Melnikov method. By the method, the existences of chaotic motion and homoclinic bifurcations are proved.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:414-420
    DOI: 10.1016/j.chaos.2007.07.079
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