Modeling HIV/AIDS and Tuberculosis Coinfection
Modeling HIV/AIDS and Tuberculosis Coinfection
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DOI：
10.1007/s11538-009-9423-9
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发表时间：
2009-10-01
影响因子：
3.5
通讯作者：
Mukandavire, Z.
中科院分区：
文献类型：
--
作者：
Bhunu, C. P.;Garira, W.;Mukandavire, Z.
艾滋病毒/艾滋病和结核病合并感染模型，考虑对艾滋病病例进行抗逆转录病毒治疗和治疗所有形式的结核病，即，结核病的潜在和活动形式。开始，我们提出了一个艾滋病毒/艾滋病-结核病合并感染模型，并分析了结核病和艾滋病毒/艾滋病的子模型单独没有任何干预策略。当再生数小于1时，TB模型表现出后向分岔。另一方面，当相应的再生数小于1时，只有HIV/AIDS模型具有全局渐近稳定的无病平衡点。我们继续分析完整的HIV-结核病合并感染模型，并将该模型扩展到包括艾滋病病例的抗逆转录病毒治疗和活动性和潜伏性结核病的治疗。确定了模型的阈值和平衡量，分析了模型的稳定性。从这项研究中，我们得出结论，艾滋病病例的治疗导致进展为活动性结核病的人数显着减少。此外，对潜伏和活动形式的TB的治疗导致HIV感染的AIDS阶段的延迟发作。
An HIV/AIDS and TB coinfection model which considers antiretroviral therapy for the AIDS cases and treatment of all forms of TB, i.e., latent and active forms of TB, is presented. We begin by presenting an HIV/AIDS-TB coinfection model and analyze the TB and HIV/AIDS submodels separately without any intervention strategy. The TB-only model is shown to exhibit backward bifurcation when its corresponding reproduction number is less than unity. On the other hand, the HIV/AIDS-only model has a globally asymptotically stable disease-free equilibrium when its corresponding reproduction number is less than unity. We proceed to analyze the full HIV-TB coinfection model and extend the model to incorporate antiretroviral therapy for the AIDS cases and treatment of active and latent forms of TB. The thresholds and equilibria quantities for the models are determined and stabilities analyzed. From the study we conclude that treatment of AIDS cases results in a significant reductions of numbers of individuals progressing to active TB. Further, treatment of latent and active forms of TB results in delayed onset of the AIDS stage of HIV infection.