期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具有潜伏细胞和CTL免疫反应的HIV模型的稳定性分析 被引量：10

Stability Analysis of an HIV Model with Latent Infected CD4^+T Cells and CTL Immune Response
下载PDF
导出
摘要 研究了具有潜伏细胞和CTL免疫反应的HIV动力学模型.利用Lyapunov函数法分析了系统的全局稳定性. In this paper, an HIV model with latent infected CD4＋T ceils and CTL immune response is studied. The global asymptotical stabilities are obtained by means of Lyapunov function.
作者 眭鑫 刘贤宁 周林
机构地区 西南大学数学与统计学院 三峡库区生态环境教育部重点实验室
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第5期23-27,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10971168) 重庆市自然科学基金资助项目(CSTC2008BB0009)
关键词 全局稳定性 潜伏细胞 CTL免疫反应 LYAPUNOV函数 global stability latent infected cells CTL immune response Lyapunov function
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献12

  • 1PERELSON A S, KIRSCHNER D E, DEBOER R. Dynamics of HIV Infection of CD4+T Cells [J]. Math Biosci, 1993, 114(1): 81-125.
  • 2PERELSON A S, NELSON P W. Mathematical Analysis of HIV-I Dynamics in Vivo [J]. SIAM, 1999, 41(1) : 3-44.
  • 3INOUE T, KAJIWARA T, SASAKIA T. Global Stability of Models of Humoral Immunity Against Multiple Viral Strains [J]. Journal of Biological Dynamics, 2010, 4(3): 282-295.
  • 4MURASE A, SASAKIA T, KAJIWARA T. Stability Analysis of Pathogen-Immune Interaction Dynamics [J]. J Math Biol, 2005, 51(3): 247-267.
  • 5KAJIWARA T, SASAKIA T. A Note on the Stability Analysis of Pathogen-Immune Interaction Dynamics [J]. Discrete Cont Dyn B, 2004, 4(3): 615-622.
  • 6NOWAK M A, BANGHAM C R M. Population Dynamics of Immune Responses to Persistent Viruses [J]. Science, 1996, 272(5258): 74-79.
  • 7CULSHAW R V, RUAN S G, SPITERI R J. Optimal HIV Treatment by Maximising Immune Response [J]. J MathBiol, 2004, 48(5): 545-562.
  • 8PANGHal-yan WANGWen-di WANGKai-fa.Global Properties of Virus Dynamics with CTL Response.西南师范大学学报：自然科学版,2005,.
  • 9KRAKAUER D C, NOWAK M A. T-Cell Induced Pathogenesis in HIV: Bystander Effects and Latent Infection [J]. Proc Biol Sci, 1999, 266(1423): 1069-1075.
  • 10KIRSCHNER D E. Using Mathematics to Understand HIV Immune Dynamics [J]. Notices of the AMS, 1996, 43(2) 191-202.

同被引文献53

  • 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李超,伏圣博,刘华玲,马欣荣.细胞凋亡研究进展[J].世界科技研究与发展,2007,29(3):45-53. 被引量：74
  • 3Perelson A, Nelson P W. Mathematical analysis of HIV-1 dynamics in vivo [ J ]. Society for Industrial and Applied Mathematics, 1999,41 ( 1 ) :3-44.
  • 4Wang K, Wang W, Liu X. Viral infection model with peri- odic lytic immune response [ J ]. Chaos, Solitons & Frac- tals,2006,28 ( 1 ) :90-99.
  • 5Zhu Huiyan,Luo Yang, Chen Meiling. Stability and Hopf bifurcation of HIV infection model with CTL-response delay [ J ]. Computers and Mathematics with Applica- tions, 2011,62 (9) : 3091-3102.
  • 6Smith R J,Wahl L M. Drug resistance in an immunologi- cal model of HIV-1 infection with impulsive drug effects [ J ]. Bulletin of Mathematical Biology, 2005,67 ( 4 ) : 783-813.
  • 7Smith R J, Schwartz E J. Predicting the potential impact of a cytotoxic T-lymphocyte HIV vaccine : How often should you vaccinate and how strong should the vaccine be? [ J]. Mathematical biosciences,2008,212(2) : 180-187.
  • 8Smith R J, Aggarwala B D. Can the viral reservoir of la- tently infected CD4+ T cells be eradicated with antiret- roviral HIV drugs? [ J ]. Journal of mathematical biolo- gy,2009,59(5) :697-715.
  • 9Rong L, Gilchrist M A, Feng Z, et al. Modeling within- host HIV-1 dynamics and the evolution of drug resist- ance: trade-offs between viral enzyme function and drug susceptibility[ J ]. Journal of Theoretical biology, 2007, 247(4) :804-818.
  • 10Buonomo B, Vargas-De-Leon C. Global stability for an HIV-1 infection model including an eclipse stage of in- fected cells [J]. Journal of Mathematical Analysis and Applications ,2012,385 (2) :709-720.

引证文献10

二级引证文献3

西南大学学报（自然科学版）
2012年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部