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.