Asymptotic properties of an HIV/AIDS model with a time delay
Asymptotic properties of an HIV/AIDS model with a time delay
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DOI：
10.1016/j.jmaa.2006.07.102
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发表时间：
2007-06
影响因子：
1.3
通讯作者：
Z. Mukandavire;W. Garira;C. Chiyaka
中科院分区：
文献类型：
--
作者：
Z. Mukandavire;W. Garira;C. Chiyaka
提出了具有明确潜伏期的HIV/AIDS离散时滞微分方程组数学模型，并分析了其重要的数学特征。找到了无病和地方性平衡并研究了它们的局部稳定性。我们使用李亚普诺夫函数方法来显示地方性平衡的全局稳定性。还提供了模型的定性分析，包括解决方案的正性和有界性以及持久性。使用津巴布韦的人口和流行病学参数对艾滋病毒/艾滋病模型进行数值分析，以评估潜伏期对艾滋病毒/艾滋病动态的影响以及该流行病对人口的影响。
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.