柳合龙, 杨皦蓉. 带有年龄结构和抗药物治疗的HIV模型[J]. 信阳师范学院学报(自然科学版), 2019, 32(2): 173-178. DOI: 10.3969/j.issn.1003-0972.2019.02.001
引用本文: 柳合龙, 杨皦蓉. 带有年龄结构和抗药物治疗的HIV模型[J]. 信阳师范学院学报(自然科学版), 2019, 32(2): 173-178. DOI: 10.3969/j.issn.1003-0972.2019.02.001
LIU Helong, YANG Jiaorong. Discussion on an Age-infection-structured HIV Model with Antiretroviral Therapy[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(2): 173-178. DOI: 10.3969/j.issn.1003-0972.2019.02.001
Citation: LIU Helong, YANG Jiaorong. Discussion on an Age-infection-structured HIV Model with Antiretroviral Therapy[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(2): 173-178. DOI: 10.3969/j.issn.1003-0972.2019.02.001

带有年龄结构和抗药物治疗的HIV模型

Discussion on an Age-infection-structured HIV Model with Antiretroviral Therapy

  • 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.

     

    Abstract: 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.

     

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