| 一类具有意识分类的分数阶HIV/AIDS传染病模型的研究 |
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| 引用本文： | 朱惠延,彭湘,刘小佑.一类具有意识分类的分数阶HIV/AIDS传染病模型的研究[J].南华大学学报(自然科学版),2016,30(4):62-66. |
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| 作者姓名： | 朱惠延 彭湘 刘小佑 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 国家自然科学基金青年项目(11501284);湖南省教育厅科学研究重点项目(14A128);湖南省自然科学基金项目(2015JJ6095) |
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| 摘 要： | 研究一类分数阶HIV/AIDS传染病模型.在该模型中,考虑了人类自身的"意识"在疾病传播中的作用将被.讨论了模型平衡点的稳定性并进行了相应的数值模拟实验.
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| 关 键 词： | HIV/AIDS流行病模型 分数阶微分方程 稳定性 |
| 收稿时间： | 2016/8/23 0:00:00 |
On a Class of HIV/AIDS Epidemic Fractional Differential Models with Awareness |
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| ZHU Hui-yan,PENG Xiang and LIU Xiao-you.On a Class of HIV/AIDS Epidemic Fractional Differential Models with Awareness[J].Journal of Nanhua University:Science and Technology,2016,30(4):62-66. |
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| Authors: | ZHU Hui-yan PENG Xiang and LIU Xiao-you |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | In this paper,a class of HIV/AIDS epidemic fractional differential models was studied.Human awareness as a factor of the transmission of the epidemic was included in the model.Stability results of the rest points of the model were obtained and numerical simulations were carried out to illustrate the results. |
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| Keywords: | HIV/AIDS epidemic model fractional differential equations stability |
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