DocumentCode :
653094
Title :
Global dynamics of a TB transmission model with TB defaulters
Author :
Luju Liu ; Yusen Wu
Author_Institution :
Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
fYear :
2013
fDate :
25-27 Sept. 2013
Firstpage :
477
Lastpage :
481
Abstract :
A TB transmission model with TB defaulters is presented in this paper. The global dynamics of the TB model is established by constructing proper Lyapunov functions. It is proved that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R0 is below unity; and the unique endemic equilibrium is globally asymptotically stable if the basic reproduction number R0 is above unity.
Keywords :
Lyapunov methods; diseases; Lyapunov functions; TB defaulters; TB transmission model; basic reproduction number; disease-free equilibrium; endemic equilibrium; global dynamics; tuberculosis; Equations; Lyapunov methods; Mathematical model; Organizations; Silicon; Sociology; Statistics; Global dynamics; Lyapunov function; TB defaulters; the basic reproduction number; tuberculosis transmission model;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Advanced Mechatronic Systems (ICAMechS), 2013 International Conference on
Conference_Location :
Luoyang
Print_ISBN :
978-1-4799-2518-6
Type :
conf
DOI :
10.1109/ICAMechS.2013.6681831
Filename :
6681831
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=653094
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