具有脉冲加药的双菌株模型的动力学分析

Dynamical Analysis of a Two-Strain Bacteria Model with Impulsive Antibiotic Effect

建立了一个考虑脉冲注射抗生素药物的四维双菌株动力学模型,得到了脉冲加药的双菌株模型的基本再生数,证明了无菌平衡点的局部渐近稳定和全局吸引,得到无菌平衡点是全局渐近稳定的.此外,还得到了菌株1、菌株2的一致持续生存条件.

In this paper, a 4-dimensional chemostat model of two-strain bacteria with impulsive antibiotic effect is proposed. By defining the spectral radius of a next infection operator in th scribe the basic reproduction number, the bacteria-free equilibrium is shown to be e per glob iodic system to de- ally asymptotically stable by proving that the equilibrium is globally attractive and locally asymptotically stable. Moreover, the conditions of uniform persistence of Bacteria 1 and Bacteria 2 are given.