文章基本信息

标题：Local Stability Analysis of an Infection-Age Mathematical Model for Tuberculosis Disease Dynamics
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作者：TT Ashezua ; NI Akinwande ; S Abdulrahman 等
期刊名称：Journal of Applied Sciences and Environmental Management
印刷版ISSN：1119-8362
出版年度：2015
卷号：19
期号：4
页码：665-669
出版社：Department of Pure & Industrial Chemistry, University of Port Harcourt
摘要：An infection age structured mathematical model for tuberculosis disease dynamics is investigated in this paper. The infectious population is structured according to time and age of infection. An explicit formula for the basic reproductive number, R 0 of the model is obtained. We showed that the disease-free equilibrium (DFE) state is locally asymptotically stable if R 0 < 1 and unstable if otherwise. This simply means that tuberculosis could be controlled in a population when the basic reproduction number is less than unity. Keywords: Basic reproduction number; Infection-age; Local Stability; Tuberculosis
关键词：Basic reproduction number;Infection-age;Local Stability;Tuberculosis