Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
474230 | Computers & Mathematics with Applications | 2008 | 14 Pages |
Abstract
Based on [J. Zhang, M. Cerasuolo, P. Fergola, Z.E. Ma, On the influence of quorum sensing in the competition between bacteria and immune system (in press)], a bacteria-immunity model with periodically bacterial quorum sensing is formulated which describes the competition between bacteria and immune cells. A discrete delay is introduced to characterize the time in which bacteria receive signal molecules and combat with immune cells. In this paper, we focus on a subsystem of the bacteria-immunity model, investigate the existence and stability of the positively periodic solution, and discuss the existence of subharmonic bifurcation by the perturbation method.
Related Topics
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Authors
Zhonghua Zhang, Yaohong Suo, Jigeng Peng, Juan Zhang,