| Beddington-DeAngelis发生率下具有感染时滞的HIV模型的稳定性及Hopf分支 |
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| 引用本文： | 刘士男,廖茂新,高丽娟.Beddington-DeAngelis发生率下具有感染时滞的HIV模型的稳定性及Hopf分支[J].南华大学学报(自然科学版),2017,31(3):66-71. |
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| 作者姓名： | 刘士男 廖茂新 高丽娟 |
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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： | 湖南省自然科学基金(13JJ3075) ;湖南省教育厅重点项目(17A181);湖南省研究生科研创新项目(CX2017B521) |
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| 摘 要： | 研究Beddington-DeAngelis发生率下具有感染时滞的HIV模型,通过考虑感染时滞对已有的模型进行修正;利用时滞微分方程的稳定性理论主要研究感染平衡点的稳定性和Hopf分支,通过数值模拟验证所得结论.
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| 关 键 词： | 感染时滞 Beddington-DeAngelis发生率 HIV模型 Hopf分支 |
| 收稿时间： | 2017/5/24 0:00:00 |
Hopf Bifurcation and Stability for an Infection Delayed HIV Model with Beddington-DeAngelis Infection Rate |
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| LIU Shi-nan,LIAO Mao-xin and GAO Li-juan.Hopf Bifurcation and Stability for an Infection Delayed HIV Model with Beddington-DeAngelis Infection Rate[J].Journal of Nanhua University:Science and Technology,2017,31(3):66-71. |
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| Authors: | LIU Shi-nan LIAO Mao-xin and GAO Li-juan |
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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,an infection delayed HIV model with Beddington-DeAngelis infection rate is investigated.Firstly,by considering the infection delay,the existing model is corrected.Then,by the stability theory of delayed differential equation,the stability and Hopf bifurcation for the positive equilibrium are mainly analyzed.Finally,the numerical simulations are carried out to explain our theorems. |
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| Keywords: | sinfection delayed Beddington-DeAngelis infection rate HIV model Hopf bifurcation |
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