一类具有病菌信息交流机制的时滞模型的稳定性

doi:10.3969/j.issn.1007-2861.2013.03.017

Abstract

Abstract: To characterize the competition between immune cells and bacteria, a microcosmic dynamical model with delayed quorum sensing mechanism is constructed. According to the Liapunov staiblity theory, the center manifold theorem and the norm form theory, local and global stability of the bacteria free equilibrium, existence and globally asymptotical stability of the positive equilibrium, and stability of the nonhyperbolic bacteria free equilibrium are studied for any positive delay.

Key words: immunity, nonhyperbolic equilibrium, quorum sensing, stability, time delay

CLC Number:

O 175

ZHANG Zhong-hua1, MENG Qing-xun2, SUO Yao-hong1. Stability of a Delayed Model with the Mechanism of Information Exchange[J]. Journal of Shanghai University（Natural Science Edition）, 2013, 19(3): 308-314.

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Stability of a Delayed Model with the Mechanism of Information Exchange

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