Modeling Transmission of Tuberculosis with MDR and Undetected Cases
Author(s) -
Yongqi Liu,
Zhendong Sun,
GuiQuan Sun,
Qiu Zhong,
Li Jiang,
Lin Zhou,
Yupeng Qiao,
Zhongwei Jia
Publication year - 2011
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2011/296905
Subject(s) - computer science , stability theory , tuberculosis , population , algorithm , statistics , mathematics , demography , medicine , physics , pathology , quantum mechanics , nonlinear system , sociology
This paper presents a novel mathematical model with multidrug-resistant (MDR) andundetected TB cases. The theoretical analysis indicates that the disease-free equilibrium isglobally asymptotically stable if R0<1; otherwise, the system may exist a locally asymptoticallystable endemic equilibrium. The model is also used to simulate and predict TB epidemicin Guangdong. The results imply that our model is in agreement with actual data and theundetected rate plays vital role in the TB trend. Our model also implies that TB cannot beeradicated from population if it continues to implement current TB control strategies
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