| 具有Beddington-DeAngelis感染函数的时滞HIV-1模型稳定性 |
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| 引用本文： | 常侠,马忠军,袁朝晖. 具有Beddington-DeAngelis感染函数的时滞HIV-1模型稳定性[J]. 桂林电子科技大学学报, 2011, 31(3): 246-249 |
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| 作者姓名： | 常侠 马忠军 袁朝晖 |
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| 作者单位： | 常侠,马忠军,Chang Xia,Ma Zhongjun(桂林电子科技大学,数学与计算科学学院,广西,桂林,541004);袁朝晖,Yuan Zhaohui(湖南大学数学,与计量经济学院,长沙,410082) |
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| 摘 要： | 利用特征方程和稳定性理论,研究了一类具有Beddington-DeAngelis感染函数的时滞HIV-1模型的动力学性质,得到了无感染平衡点全局稳定和感染平衡点局部渐近稳定的充分条件.
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| 关 键 词： | HIV-1病毒 时滞 稳定性 |
Stability of delayed HIV-1 model with Beddington-DeAngelis functional response |
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| Chang Xia,Ma Zhongjun,Yuan Zhaohui. Stability of delayed HIV-1 model with Beddington-DeAngelis functional response[J]. Journal of Guilin University of Electronic Technology, 2011, 31(3): 246-249 |
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| Authors: | Chang Xia Ma Zhongjun Yuan Zhaohui |
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| Affiliation: | Chang Xia1,Ma Zhongjun1,Yuan Zhaohui2(1.School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China,2.College of Mathematics and Econometrics,Hunan University,Changsha 410082,China) |
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| Abstract: | A delayed HIV-1 model with Beddington-DeAngelis functional response was considered.Using characteristic equation and the stability theory,some sufficient conditions ensuring the global stability of the uninfected equilibrium and the local asymptotic stability of the infected equilibrium were obtained. |
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| Keywords: | HIV-1 virus delayed stability |
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