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具有一类接触率和T淋巴细胞免疫的病毒感染模型的稳定性 被引量:1

The Stability of a Viral Infection Model with One Infection and T Lymphocyte Immunity
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摘要 研究了具有βxv/1+αv接触率和T淋巴细胞免疫的病毒模型.通过构造Lyapunov函数和运用LaSalle不变集原理,对模型的三个平衡点进行了全局稳定性分析.最后对所得结论通过数值模拟进行验证. This paper studies the the virus model with βxv/1+αv infection and T cell-mediated immune.By using suitable Lyapunov function and the Lasalle invariant principle,the global stability of the three equilibria are established.Besides,the conclusion is proved by using numerical simulation.
作者 唐永鲁 强华 马艳利 TANG Yong-lu QIANG Hua MA Yan-li(Department of Basic Courses, Yinchuan Energy Institute, Yinchuan 750105, China)
出处 《兰州文理学院学报(自然科学版)》 2017年第1期10-14,共5页 Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金 银川能源学院科研项目(2015-KY-Y-49)
关键词 接触率 T淋巴细胞免疫 再生数 平衡点 全局稳定性 infection CTL immune reproduction number equilibrium point global stability
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  • 1KOELLE K, PASCUAL M, YUNUS M. Pathogen adaptation to seasonal forcing and climate change [J].Proe R Soe Lond B, 2005,272 : 971-977.
  • 2KOELLE K, PASCUAL M, YUNUS M. Serotype cycles in cholera dynamics [J]. Proc R Soe Lond B, 2006, 273: 2879- 2886.
  • 3ANDERSEN M D, NEUMANN N F. Giardia intestinalis: new insights on an old pathogen[J]. Rev Med Microbiol, 2007,18 (2) :35-42.
  • 4JOSEPH H T, DAVID J D E. Multiple transmission pathways and disease dynamics in a waterbome pathogen model [J].Bulletin of Mathematical Biology, 2010,72(6) : 1506-1553.
  • 5VAN DEN DRIESSCHE P, WATMOUGH J. Reproduction numbers and sub-threshold endemic equilibria for compart- mental models of disease transmission [J]. Math Biosci, 2002, 180 : 29-48.
  • 6LASALLE J, LEFSCHETZ S. Stability by Liapunov's direct method[M]. New York: Academic Press, 1961.
  • 7CASTILL CHAVEZ C, SONG B J. Dynamical models of tu-bereulosis and their applications [J]. Mathematical Biosciences and Engineering, 2004,1(2) :361-404.
  • 8ZIV E, DALEY C L, BLOWER S M. Early therapy for latent tuberculosis infection [J]. American Journal of Epidemiology, 2001,153 : 381-385.
  • 9FENG W Y, GAO F. Proceedings of the SNPD 2007 [C]. Qingdao: IEEE Computer Society, 2007: 422-425.
  • 10VAN DEN DRI~HE P, WATMOUGH J. Reproduction numbers and sub-threshold endemic equilibria for compart- mental models of disease transmission[J]. Mathematical Biosciences , 2002,180: 29-48.

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