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一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文） 被引量：1

Stability Analysis of an HIV/AIDS Model with Vertical Transmission
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摘要 讨论了一类带有治疗及垂直传播的HIV/AIDS模型,找出了模型的无病平衡点以及地方病平衡点并研究了这两平衡点的稳定性.最终得出当基本再生数R0<1时无病平衡是全局渐近稳定的,此时地方病平衡点不存在当R0>1时地方病平衡点全局渐近稳定的. This paper considers an HIV/AIDS epidemic model with treatment and vertical transmission. The equilibrium points of the model are found and their stability is investigated. The model exists two equilibria namely, the disease-free and endemic equilibrium. It is found that if the basic reproduction number R0 〈 1 the disease free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist. Where as the unique infected equilibrium is globally asymptotically stable if R0 〉 1.
作者 祖克热古丽.吾斯曼 夏米西努尔.阿布都热合曼
机构地区 新疆大学数学与系统科学学院
出处 《新疆大学学报（自然科学版）》 CAS 北大核心 2015年第3期297-303,共7页 Journal of Xinjiang University(Natural Science Edition)
基金 supported by the National Natural Science Foundation of China(11261056,11261058 and 11271312)
关键词 HIV/AIDS传染病模型 垂直传播 基本再生数 HIV/AIDS epidemic model Vertical transmission Basic reproduction number
分类号 O193 [理学—基础数学]
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参考文献13

  • 1Cal Liming, Li Xuezhi. Stability analysis of an HIV/A1DS epidemic model with treatment[J]. Journal of Computational and Applied Mathe- matics, 2009, 229:313-323.
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新疆大学学报（自然科学版）
2015年 第3期

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