Stability analysis of the endemic equilibrium state of an infection age-structured HIV/AIDS disease pandemic
In this work we present an infection-age-structured mathematical model of AIDS disease dynamics and examine the endemic equilibrium state for stability. An explicit formula for the basic reproduction number R0 was obtained in terms of the demographic and epidemiological parameters of the model. The...
| 發表在: | Journal of Applied Sciences and Environmental Management |
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| Main Authors: | , , |
| 格式: | Article |
| 語言: | 英语 |
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2016-07-01
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| 主題: | |
| 在線閱讀: | https://www.ajol.info/index.php/jasem/article/view/140413 |
| 總結: | In this work we present an infection-age-structured mathematical model of AIDS disease dynamics and examine the endemic equilibrium state for stability. An explicit formula for the basic reproduction number R0 was obtained in terms of the demographic and epidemiological parameters of the model. The endemic equilibrium state was found to be locally asymptotically stable under certain conditions. Furthermore, by constructing a suitable Lyapunov functional, the endemic equilibrium state was found to be globally asymptotically stable under certain conditions prescribed on the model parameters.
Keywords: Basic reproduction number, HIV/AIDS, Lyapunov functional
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| ISSN: | 2659-1502 2659-1499 |