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一类带有非线性传染率的病毒动力学模型的全局稳定性 被引量:2

Analysis for a Model of Global Properties of Virus Dynamics with Nonlinear Incidence
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摘要 利用Lyapunov函数研究了带有免疫反应及非线性传染项βVqTp(q≤1)的病毒动力学模型的全局稳定性. Explicit Lyapunov functions for our dynamics model with immune response witli nonlinear incidence of the form βV^qT^p for die case q ≤ 1 are introduced in this paper,and global properties of the model are there- by established.
出处 《鞍山师范学院学报》 2008年第2期1-3,共3页 Journal of Anshan Normal University
基金 国家自然科学基金资助项目(10471117)
关键词 全局稳定性 LYAPUNOV函数 非线性传染率 病毒动力学 Global properties Lyapunov function Nonlinear incidence Virus dynamics
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参考文献9

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同被引文献14

  • 1庞海燕,王稳地,王开发.考虑CTL免疫反应的病毒动力学模型的全局稳定性分析(英文)[J].西南师范大学学报(自然科学版),2005,30(5):796-799. 被引量:24
  • 2庞海燕,王稳地,王开发.考虑免疫反应损害的细胞细胞病毒动力学模型的确定和随机稳定性分析(英文)[J].西南师范大学学报(自然科学版),2006,31(5):26-30. 被引量:5
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  • 5Andrei Korobeinikov. Global properties of basic virus dynamics models[J]. Bulletin of Mathematical Biology, 2004,(66) :879-883.
  • 6Haiyan Pang, Wendi Wang, Kaifa Wang. Global properties of virus dynamics with CTL immune response[J].西南师范大学学报(自然科学版),2005,30:796-799.
  • 7Xiangyun Shi, Xueyong Zhou, Xinyu Song. Dynamical behavior of a delay virus dynamics model with CTL immune response[J]. Nonlinear Analysis: Real World Applications,2010, (11) : 1 795-1 809.
  • 8Tsuyoshi K, Toru S. A note on the stability analysis of patheogen-immune interaction dynamics[J]. Discrete and Continuous Dy- namical System Series B4, 2004 (B4): 615-622.
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  • 10Gang Huang, Wanbiao Ma, Yasuhiro Takeuehi. Global properties for virus dynamics model with Beddington-DeAngelis functional response[J]. Applied Mathematics Letters,2009, (22) : 1 690-1 693.

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