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Zbl 1197.37130
Zhang, Zhonghua; Peng, Jigen; Zhang, Juan
Melnikov method to a bacteria-immunity model with bacterial quorum sensing mechanism. (English)
[J] Chaos Solitons Fractals 40, No. 1, 414-420 (2009). ISSN 0960-0779

Summary: 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. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *37N25 Dynamical systems in biology
92C99 Medical topics etc.

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Zentralblatt MATH Berlin [Germany]