A bacteria-immunity system with delayed quorum sensing

被引：2
|
作者：
Zhonghua Z. [1 ]
Yaohong S. [1 ]
Juan Z. [2 ]
Jigeng P. [3 ]
机构：
[1] School of Sciences, Xi'an University of Science and Technology
[2] Department of Mathematics, North China Electric Power University
[3] Research Center for Applied Mathematics, Xi'an Jiaotong University
来源：
Journal of Applied Mathematics and Computing | 2009年 / 30卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Hopf bifurcation; Immunity; Quorum sensing; Stability;
D O I：
10.1007/s12190-008-0167-8
中图分类号：
学科分类号：
摘要：
Considering the mechanism of quorum sensing, we formulate a bacteria-immunity model to describe the competition between bacteria and immune cells on the basis of Zhang's model (see Zhang et al. 2008, to appear, for more details). A distributed delay is introduced to characterize the time in which bacteria receive signal molecules and then combat with immune cells. We analyze the stability of the equilibrium points and discuss the existence of Hopf bifurcation near the positive equilibrium point. Finally, numerical simulation is carried out to illustrate our qualitative results. © 2008 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：201 / 217
页数：16
相关论文
共 50 条
  • [1] Hopf bifurcation of a bacteria-immunity system with delayed quorum sensing
    Zhang Juan
    Zhang Zhonghua
    Suo Yaohong
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3936 - 3949
  • [2] Hopf bifurcation direction of a delayed bacteria-immunity system with quorum sensing mechanism
    Zhang Zhonghua
    Wu Jianhua
    Suo Yaohong
    Zhang Juan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2422 - 2435
  • [3] Analysis of a periodic bacteria-immunity model with delayed quorum sensing
    Zhang Zhonghua
    Suo Yaohong
    Peng Jigeng
    Zhang Juan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (11) : 2834 - 2847
  • [4] Analysis of a bacteria-immunity model with delay quorum sensing
    Zhang Zhonghua
    Peng Jigen
    Zhang Juan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 102 - 115
  • [5] STABILITY AND BIFURCATIONS IN A MODEL OF BACTERIA IMMUNITY WITH QUORUM SENSING
    Zhang Zhonghua
    Suo Yaohong
    Zhang Juan
    Song Xinyu
    Mathematical Population Studies, 2015, 22 (04) : 209 - 233
  • [6] Quorum sensing and communication in bacteria
    I. A. Khmel
    A. S. Belik
    Yu. V. Zaitseva
    N. N. Danilova
    Moscow University Biological Sciences Bulletin, 2008, 63 (1) : 25 - 31
  • [7] Quorum sensing in bacteria and yeast
    March Rossello, Gabriel Alberto
    Eiros Souza, Jose Maria
    MEDICINA CLINICA, 2013, 141 (08): : 353 - 357
  • [8] Quorum sensing: the many languages of bacteria
    Reading, NC
    Sperandio, V
    FEMS MICROBIOLOGY LETTERS, 2006, 254 (01) : 1 - 11
  • [9] Mathematical Modelling of Quorum Sensing in Bacteria
    Rajesh E. Kannan
    Supreet Saini
    INAE Letters, 2018, 3 (3): : 175 - 187
  • [10] Quorum Sensing Inhibition by Marine Bacteria
    Borges, Anabela
    Simoes, Manuel
    MARINE DRUGS, 2019, 17 (07)
12345