Zhang, Z.H., Suo, Y.H. and Zhang, J. (2015) Stability and Bifurcations in a Model of Bacteria Immunity with Quorum Sensing. Mathematical Population Studies, 22, 209-233.
http://dx.doi.org/10.1080/08898480.2014.999498

has been cited by the following article:

• TITLE: Mathematical Model of a Bacteria-Immunity System with the Influence of Quorum Sensing Signal Molecule

  AUTHORS: Zhiwen Zhang

  KEYWORDS: Pseudomonas aeruginosa, Quroum Sensing, Modulation, Bifurcation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.5, May 23, 2016

  ABSTRACT: A recent study illustrates an exciting new element of bacteria-host interactions in which the opportunistic pathogen Pseudomonas aeruginosa quorum sensing signal molecule can modulate the host immune system. In this paper, on the basic of a model which describes the competition between bacteria and immune system, a mathematical model is proposed to investigate the modulation of quorum sensing signal molecule on immune response. It is shown that the modulation leads to a backward bifurcation and some more new dynamical behaviors. By numerical simulations, we find a fold bifurcation of equilibria, which induces three patterns of dynamical behaviors including the bistable phenomenon. Our model quantifies the modulation of quorum sensing signal molecule on the immune response, which may provide a therapy for bacteria infections.