Title :
Global Stability of A Tuberculosis Model with Vertical Transmission
Author :
Ma, Chun ; Zhang, Fengqin ; Jin, Zhen
Author_Institution :
North Univ. of China, Taiyuan
fDate :
July 30 2007-Aug. 1 2007
Abstract :
This paper considers an SEIT epidemic model that incorporates proportion recruitment and with vertical transmission. By means of Lyapunov function and LaSalle´s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium and the endemic equilibrium with the help of numerical simulations.
Keywords :
Lyapunov methods; asymptotic stability; diseases; medical control systems; set theory; Lyapunov function; SEIT epidemic model; disease-free equilibrium; endemic equilibrium; global asymptotic stability; invariant set theorem; proportion recruitment; tuberculosis model; vertical transmission; Artificial intelligence; Differential equations; Diseases; Distributed computing; Humans; Mathematical model; Mathematics; Recruitment; Software engineering; Stability;
Conference_Titel :
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-2909-7
DOI :
10.1109/SNPD.2007.337
