一种具有最优控制的HIV/AIDS大流行模型。
A model for HIV/AIDS pandemic with optimal control.
作者信息
Sule Amiru, Abdullah Farah Aini
机构信息
Pusat Pengajian Sains Matematik, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia.
出版信息
AIP Conf Proc. 2015 May 15;1660(1):050007. doi: 10.1063/1.4915640.
Human immunodeficiency virus and acquired immune deficiency syndrome (HIV/AIDS) is pandemic. It has affected nearly 60 million people since the detection of the disease in 1981 to date. In this paper basic deterministic HIV/AIDS model with mass action incidence function are developed. Stability analysis is carried out. And the disease free equilibrium of the basic model was found to be locally asymptotically stable whenever the threshold parameter (RO) value is less than one, and unstable otherwise. The model is extended by introducing two optimal control strategies namely, CD4 counts and treatment for the infective using optimal control theory. Numerical simulation was carried out in order to illustrate the analytic results.
人类免疫缺陷病毒与获得性免疫缺陷综合征（HIV/AIDS）是一种大流行病。自1981年发现该疾病至今，它已影响了近6000万人。在本文中，建立了具有质量作用发生率函数的基本确定性HIV/AIDS模型，并进行了稳定性分析。发现当阈值参数（RO）的值小于1时，基本模型的无病平衡点是局部渐近稳定的，否则是不稳定的。利用最优控制理论，通过引入两种最优控制策略，即CD4细胞计数和对感染者的治疗，对该模型进行了扩展。为了说明分析结果，进行了数值模拟。
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