QUALITATIVE STUDY FOR A MULTI-DRUG RESISTANT TB MODEL WITH EXOGENOUS REINFECTION AND RELAPSE

作     者：LUJU LIU XINCHUN GAO 

作者机构：School of Mathematics and Statistics Henan University of Science and Technology Luoyang 471003 P. R. China School of Basic Studies SIAS International College Zhengzhou University Zhengzhou 451150 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2012年第5卷第4期

页      面：157-175页

核心收录：

学科分类：090603[农学-临床兽医学] 07[理学] 09[农学] 0906[农学-兽医学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：09001535 National Natural Science Foundation of China, NSFC: 11001215, 11101126, 11101127 

主　　题：Exogenous reinfection relapse the effective reproduction number the invasion reproduction number center manifold theory stability. 

摘      要：One tuberculosis transmission model is formulated by incorporating exogenous reinfec- tion, relapse, and two treatment stages of infectious TB cases. The global stability of the unique disease-free equilibrium is obtained by applying the comparison principle if the effective reproduction number for the full model is less than unity. The existence and stability of the boundary equilibria are given by introducing the invasion reproduction numbers. Furthermore, the existence and local stability of the endemic equilibrium are addressed under some conditions.