论文标题
具有CTL免疫反应的细胞内延迟HIV模型的离散时间系统
Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response
论文作者
论文摘要
在[数学。计算。科学。 12（2018），没有。 2，111--127]，一个延迟的模型，描述了人类免疫缺陷病毒（HIV）具有细胞毒性T淋巴细胞（CTL）免疫反应的动力学，该模型由Allali，Harroudi和Torres研究。在这里，我们提出了该模型的离散时间版本，其中包括四个非线性差异方程式，描述了未感染，感染，自由的HIV病毒和CTL免疫反应细胞的演变，并包括细胞内延迟。使用合适的Lyapunov函数，我们证明了无疾病无疾病平衡点和两个地方性平衡点的全球稳定性。我们通过进行一些模拟并在数值上显示获得的理论结果的一致性来完成。
In [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here, we propose a discrete-time version of that model, which includes four nonlinear difference equations describing the evolution of uninfected, infected, free HIV viruses, and CTL immune response cells and includes intracellular delay. Using suitable Lyapunov functions, we prove the global stability of the disease free equilibrium point and of the two endemic equilibrium points. We finalize by making some simulations and showing, numerically, the consistence of the obtained theoretical results.
