| 对高危人群实施干预措施的时滞HIV/AIDS传播模型 |
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| 引用本文： | 王来全,李硕,魏成花.对高危人群实施干预措施的时滞HIV/AIDS传播模型[J].北华大学学报(自然科学版),2015(1):17-21. |
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| 作者姓名： | 王来全 李硕 魏成花 |
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| 作者单位： | 新疆昌吉职业技术学院,新疆 昌吉,831100;昌吉学院数学系,新疆 昌吉,831100 |
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| 基金项目： | 昌吉职业技术学院自然科学基金 |
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| 摘 要： | 考虑了一类对高危人群实施干预措施的HIV/AIDS传播模型,给出了无病平衡点的全局稳定和地方病平衡点局部稳定的条件,当R01时,疾病在人群中持久,同时,研究了干预措施在HIV/AIDS预防中的效果.
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| 关 键 词： | 干预措施 基本再生数 渐近稳定 |
A Delayed HIV/AIDS Transmission Model with Intervention Measures for High-risk Population |
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| Wang Laiquan,Li Shuo,Wei Chenghua.A Delayed HIV/AIDS Transmission Model with Intervention Measures for High-risk Population[J].Journal of Beihua University(Natural Science),2015(1):17-21. |
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| Authors: | Wang Laiquan Li Shuo Wei Chenghua |
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| Institution: | Wang Laiquan;Li Shuo;Wei Chenghua;Changji Vocational and Technical College;Department of Mathematics ,Changji University; |
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| Abstract: | We considered a delayed HIV/AIDS transmission model with intervention measures for high-risk population. The global stability of the disease-free equilibrium and the local stability of the endemic equilibrium are investigated, when the basic reproduction number R0 is greater than 1, it is proved that the disease is permanent in the population. Furthermore,the effect of the intervention measures on the prevention of HIV/AIDS is studied. |
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| Keywords: | intervention measures basic reproduction number asymptotic stability |
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