Analysis of an HIV/AIDS treatment model with a nonlinear incidence
Analysis of an HIV/AIDS treatment model with a nonlinear incidence
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DOI：
10.1016/j.chaos.2007.11.023
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发表时间：
2009-07-15
影响因子：
7.8
通讯作者：
Wu, Jingang
中科院分区：
文献类型：
--
作者：
Cai, Liming;Wu, Jingang
建立了一类具有非线性传染率的HIV/AIDS治疗模型。根据临床分期，将感染期分为渐进期和症状期。模型中考虑了恒定的招募率、疾病引起的死亡、药物治疗以及非线性发病率。模型的基本再生数R（0）由下一代矩阵法确定。数学分析表明，HIV传染病传播的全球动力学完全由基本再生数R（0）决定。当R（0）1时，疾病持续存在，唯一的地方病平衡点在可行域内部全局渐近稳定。(C)2007爱思唯尔有限公司保留所有权利。
An HIV/AIDS treatment model with a nonlinear incidence is formulated. The infectious period is partitioned into the asymptotic and the symptomatic phases according to clinical stages. The constant recruitment rate, disease-induced death, drug therapies, as well as a nonlinear incidence, are incorporated into the model. The basic reproduction number R(0) of the model is determined by the method of next generation matrix. Mathematical analysis establishes that the global dynamics of the spread of the HIV infectious disease are completely determined by the basic reproduction number R(0). If R(0) 1, the disease persists and the unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region. (C) 2007 Elsevier Ltd. All rights reserved.