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Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response
Results in Physics ( IF 5.3 ) Pub Date : 2021-06-18 , DOI: 10.1016/j.rinp.2021.104448
M.A. Alshaikh , N.H. AlShamrani , A.M. Elaiw

This paper presents two HIV/HTLV co-infection models with antibody immune response. The first model is given by 5-dimensional ODEs that describe the within–host interactions of five compartments, susceptible CD4+T cells, HIV-infected cells, HTLV-infected cells, free HIV particles and HIV-specific antibodies. In the second model, we incorporate both silent HIV-infected cells and silent HTLV-infected cells. For both models we address the properties of the solutions, then we investigate the global stability of the steady states. Our global stability results are based on constructing Lyapunov functions and using LaSalle’s invariance principle. To support our theoretical results we conduct some numerical simulations.



中文翻译:

HIV/HTLV 共感染模型的稳定性与有效的 HIV 特异性抗体免疫反应

本文介绍了两种具有抗体免疫反应的 HIV/HTLV 共感染模型。第一个模型由 5 维 ODE 给出,描述了五个隔室的宿主内相互作用,易感 CD4+T 细胞、HIV 感染细胞、HTLV 感染细胞、游离 HIV 颗粒和 HIV 特异性抗体。在第二个模型中,我们合并了沉默的 HIV 感染细胞和沉默的 HTLV 感染细胞。对于这两种模型,我们都解决了解的属性,然后我们研究了稳态的全局稳定性。我们的全局稳定性结果基于构建 Lyapunov 函数并使用 LaSalle 不变性原理。为了支持我们的理论结果,我们进行了一些数值模拟。

更新日期:2021-07-12
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