期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 330, 期 2, 页码 916-933出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2006.07.102
关键词
HIV/AIDS model; incubation; delay; global stability; persistence; Lyapunov functional
A mathematical model for HIV/AIDS with explicit incubation period is presented as a system of discrete time delay differential equations and its important mathematical features are analysed. The disease-free and endemic equilibria are found and their local stability investigated. We use the Lyapunov functional approach to show the global stability of the endemic equilibrium. Qualitative analysis of the model including positivity and boundedness of solutions, and persistence are also presented. The HIV/AIDS model is numerically analysed to asses the effects of incubation period on the dynamics of HIV/AIDS and the demographic impact of the epidemic using the demographic and epidemiological parameters for Zimbabwe. (c) 2006 Elsevier Inc. All rights reserved.
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