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Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
A Model for Tuberculosis with Various Latent Periods
Haier International Training Center, Qingdao, China
July 30-August 01
ISBN: 0-7695-2909-7
Zhong-wei Jia, Beijing University of Posts and Telecommunications, China; Beijing Institute of Microbiology and Epidemiology, China
Xiao-wen Li, Chinese Academy of Sciences, China
Zhen Jin, North University of China, China
Dan Feng, Beijing Institute of Microbiology and Epidemiology, China
Wu-chun Cao, Beijing Institute of Microbiology and Epidemiology, China
This paper presents a mathematical model to evaluate the impact of different latent periods on the epidemic of tuberculosis. Analysis results show that the disease-free equilibrium P_0 is globally asymptotically stable and disease is eliminated from population if R_0 \leqslant 1. However, the proof of stability of the unique endemic equilibrium P* is still a challege. Numerical simulation demonstrates that P* is globally asymptotically stable if R_0 \ge 1.
Citation:
Zhong-wei Jia, Xiao-wen Li, Zhen Jin, Dan Feng, Wu-chun Cao, "A Model for Tuberculosis with Various Latent Periods," snpd, vol. 1, pp.422-425, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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