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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Asymptotic properties of an HIV/AIDS model with a time delay
Journal of Mathematical Analysis and Applications, Volume 330, No. 2, Year 2007
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Description
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. © 2006 Elsevier Inc. All rights reserved.
Authors & Co-Authors
Mukandavire, Zindoga
Zimbabwe, Bulawayo
National University of Science and Technology Bulawayo
Garira, Winston
Zimbabwe, Bulawayo
National University of Science and Technology Bulawayo
Chiyaka, Christinah
Zimbabwe, Bulawayo
National University of Science and Technology Bulawayo
Statistics
Citations: 91
Authors: 3
Affiliations: 1
Identifiers
Doi:
10.1016/j.jmaa.2006.07.102
ISSN:
0022247X
e-ISSN:
10960813
Research Areas
Infectious Diseases
Study Approach
Qualitative
Study Locations
Zimbabwe