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

Zhonghua Zhang, Jigen Peng and Juan Zhang

Chaos, Solitons & Fractals, 2009, vol. 40, issue 1, 414-420

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:1:p:414-420

DOI: 10.1016/j.chaos.2007.07.079

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