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

作　　者：闫超[1] 王稳地[1] 曾豪[1] 芶知学 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2016年第5期86-93,共8页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11171276)

摘　　要：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.

关 键 词：基本再生数 周期系统 全局稳定性 入侵再生数 一致持续生存 

分 类 号：O175[理学—数学]