期刊文献+

Global dynamics for a live-virus-blood model with distributed time delay 被引量:1

Global dynamics for a live-virus-blood model with distributed time delay
原文传递
导出
摘要 In this paper, the global properties of a mathematical modeling of hepatitis C virus (HCV) with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number R0 is larger than unity, then the infected steady state is globally asymptotically stable.
出处 《International Journal of Biomathematics》 2017年第5期143-158,共16页 生物数学学报(英文版)
关键词 Hepatitis C virus distributed time delays live-virus-blood system global asymptotic stability Lyapunov functional. 丙型肝炎病毒 分布时滞 数学模型 全局动力学 全局渐近稳定性 李雅普诺夫泛函 血液 稳定状态
  • 相关文献

参考文献1

二级参考文献17

  • 1M. Chang, O. Williams, J. Mittler, A. Quintanilla, R. L. Carithers, Jr. J. Perkins, L. Corey and D. R. Gretch, Dynamics of Hepatitis C Virus Replication in Human Liver, Am. J. Pathol. 163 (2003) 433-444.
  • 2H. Dahari, A. Feliu, M. Oarcia-Retortillo, X. Forns and A. U. Neumann, Second hepatitis C replication compartment indicated by viral dynamics during liver trans- plantation, J. Hepatol. 42 (2005) 491-498.
  • 3H. Daharia, A. Lo, R. M. Ribeiroa and A. S. Perelson, Modeling hepatitis C virus dynamics: Liver regeneration and critical drug efficacy, J. Theor. Biol. 247 (2007) 371- 381.
  • 4N. M. Dixit, J. E. Layden-Almer et al., Modelling how ribavirin improves interferon response rates in hepatitis C virus infection, Nature 432 (2004) 922-924.
  • 5G. M. Lauer and B. D. Walker, Hepatitis C virus infection, N. Engl. J. Med. 345 (2001) 41-52.
  • 6S. Liu and L. W'ang, Global stability of an HIV-1 model with distributed intraeeller delays and a combination therapy, Math. Biosci. Eng. 7(3) (2010) 675 -685.
  • 7C. Lv and Z. Yuan, Stability analysis of delay differential equation models of HIV-1 therapy for fighting a virus with another virus, d. Math. Anal. Appl. 352(2) (2009) 672-683.
  • 8M. P. Manns et al., Peginterferon a-2b plus ribavirin compared with interferon a-2b plus ribavirin for initial treatment of chronic hepatitis C: A randomised trial, Lancet 358 (2001) 958-965.
  • 9L. Y. Michael and S. Hongying, Impact of intercellular delays and target-cell dynam- ics on in vivo viral infection, Siam J. Appl. Math. 70(7) (2010) 2434-2448.
  • 10National Institutes of Health Consensus Development Conference Statement: Man- agement of hepatitis C: 2002 June 10-12, Hepatology 36 (2002) 3- 20.

共引文献1

同被引文献2

引证文献1

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