一类具有信号分子调节作用的非连续模型的动力学性质  

Dynamical Properties of a Discontinuous Models with Signal Molecules Regulation

作　　者：王茹 张仲华[1] 刘叶玲[1] Wang Ru;Zhang Zhonghua;Liu Yeling(School of Sciences,Xi’an University of Science and Technology,Xi’an 710054)

机构地区：[1]西安科技大学理学院

出　　处：《数学物理学报（A辑）》2019年第6期1545-1554,共10页Acta Mathematica Scientia

基　　金：陕西省自然科学基金(2015JM1011)~~

摘　　要：将信号分子的浓度作为指标,建立了一类描述病菌群体感应机理对信号分子浓度调节的非连续模型,讨论了模型滑动模块区域的存在性,真(假)平衡点和伪平衡点的存在性及稳定性.特别地,证明了穿越极限环的存在性.最后,运用Matlab软件进行数值模拟,支撑了理论结果.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.

关 键 词：群体感应 非连续模型 滑模动力学 极限环 稳定性 

分 类 号：O175[理学—数学]