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带有年龄结构和抗药物治疗的HIV模型 被引量:4

Discussion on an Age-infection-structured HIV Model with Antiretroviral Therapy
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摘要 HIV/AIDS个体的传染力受感染年龄的影响,抗药物治疗可有效控制其传播.根据这些特点,建立了带有感染年龄和抗药物治疗的HIV模型,分析了系统解的存在性,利用Lyapunov函数研究了系统稳态解的稳定性. The infect individuals of HIV/AIDS is affected by the age of infection, antiretroviral therapy can effectively control its spread. According to these characteristics, an age-infection-structured HIV model with antiretroviral therapy is established, the existence of the system solution is analyzed. Further, the stability of the system stable solution is studied using the Lyapunov function.
作者 柳合龙 杨皦蓉 LIU Helong;YANG Jiaorong(College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000,China)
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2019年第2期173-178,共6页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11871415) 信阳师范学院研究生科研创新基金项目(2017KYJJ36)
关键词 年龄结构 抗药物治疗 LYAPUNOV函数 稳定性 age structure antiretroviral therapy Lyapunov function stability
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