计算机工程与应用Issue(5)：8-13,87,7.DOI:10.3778/j.issn.1002-8331.1410-0030
抗HIV感染治疗模型及临床数据模拟
Anti-HIV infection treatment model and clinical data simulation
摘要
Abstract
Based on a saturated infection rate and the mechanism of Human Immunodeficiency Virus(HIV)inducing the apoptosis in CD4+T cells, a modified anti-HIV infection treatment model is proposed. This model has an infection-free equilibrium point and an endemic infection equilibrium point. It shows that if the model’s basic reproductive number R0 less than 1, then the infection-free equilibrium point of the model is globally asymptotically stable, if the model’s R0 greater than 1, then the endemic infection equilibrium point of the model is locally asymptotically stable. Based on the clinical data from HIV drug resistance database of Stanford University, it uses the proposed model to simulate the dynamics of a group patients’anti-HIV infection treatment and make long-term prediction for the group’s anti-HIV infection treat-ment. Numerical simulations suggest that the anti-HIV infection treatment cannot control HIV inducing the apoptosis of CD4+T cells, when the drug resistance appears, the resistance may get stronger if nothing changes in anti-HIV infection treatment, the anti-HIV infection treatment of the group patients is failed eventually.关键词
艾滋病病毒(HIV)感染模型/全局渐近稳定/基本再生数/数值模拟Key words
Human Immunodeficiency Virus(HIV)infection model/globally asymptotically stable/basic reproductive number/numerical simulation分类
数理科学引用本文复制引用
孙起麟,闵乐泉..抗HIV感染治疗模型及临床数据模拟[J].计算机工程与应用,2015,(5):8-13,87,7.基金项目
国家自然科学基金（No.61074192）；北京科技大学博研基金（No.06108126）。 （）
