一类具有信号分子调节作用的非连续模型的动力学性质

Abstract

Abstract:

In this paper, the concentration of signal molecules is used as an indicator to establish a discontinuous model that describes the regulation of signal molecules concentration by the quorum sensing mechanism of pathogens. The existence of the sliding module region, the existence and stability of the true (false) equilibrium point and the pseudo equilibrium point are discussed. In particular, the existence of the crossing limit cycles is proved. Finally, the Matlab software is used to carry out numerical simulations to support the theoretical results.

Key words: Quorum sensing, Discontinuous model, Sliding mode dynamics, Limit cycles, Stability

CLC Number:

O175

Ru Wang,Zhonghua Zhang,Yeling Liu. Dynamical Properties of a Discontinuous Models with Signal Molecules Regulation[J].Acta mathematica scientia,Series A, 2019, 39(6): 1545-1554.

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References 11

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参数	值	参数	值
$\alpha$	0.10564	$\rho $	50
$\gamma $	10	$\omega$	10
$\delta $	30	$k$	0.003
$\delta $	1.0564

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Dynamical Properties of a Discontinuous Models with Signal Molecules Regulation

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