期刊文献+

病毒感染群体动力学模型分析 被引量:7

STUDY ON A POPULATION DYNAMIC MODEL OF VIRUSINFECTION
原文传递
导出
摘要 本文构建并讨论了一类病毒感染的群体动力学模型,得到了模型存在轨道稳定周 期解的充分条件,较好地解释了在病毒持续感染者体内观察到的病毒载量波动现象. In this paper, a population dynamic model of virus infection is established and considered. It is found that an orbitally asymptotically stable periodic solution exists in that model. Thus, explain the fluctuant phenomena of virus population that was observed in chronically infected individuals.
出处 《系统科学与数学》 CSCD 北大核心 2003年第4期433-443,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(10101029)资助课题
关键词 病毒感染群体 动力学模型 周期解 充分条件 载量波动 生态学 稳定性 Virus infection, equilibrium, periodic solution, stability.
  • 相关文献

参考文献11

  • 1Antia R, Nowak M A, Anderson R M. Antigenic variation and the within-host dynamics of parasites. Proc Natl Acad Sci. USA, 1996, 93: 985-989.
  • 2Herz A V, Bonhoeffer S, Anderson R M, et al. Viral dynamics in vivo: limitations on estimates of intracellular delay and virus decay. Proc Natl Acad Sci. USA, 1996, 93: 7247-7251.
  • 3Bonhoeffer S, May R M, Shaw G M, et al. Virus dynamics and drug therapy. Proc Natl Acad Sci. USA, 1997, 94: 6971-6976.
  • 4Nowak M A, Bangham C R M. Population dynamics of immune responses to persistent viruses.Science, 1996, 272: 74-79.
  • 5Nowak M A, Bonhoeffer S, Hill A M, et al. Viral dynamics in hepatitis B virus infection. Proc Natl Acad Sci. USA, 1996, 93: 4398-4402.
  • 6Pontisso P, Bellati G, Brunetto M, et al. Hepatitis C virus RNA profiles in chronically infected individuals: do they relate to disease activity? Hepatology, 1999, 29(2): 585-589.
  • 7Chun Y K, Kim J Y, Woo H J, et al. No significant correlation exists between core promoter mutations, viral replication, and liver damage in chronic hepatitis B infection. Hepatology, 2000,32(5): 1154-1162.
  • 8Wendi wang, Lansun Chen. A predator-prey system with stage-structure for predator. Computers Mth Applic, 1997, 33(8): 83-91.
  • 9Smith H-L. Monotone dynamical system: An introduction to the theory of competitive and cooperative systems. American Mathematical Society, Providence, RI, 1995.
  • 10Zhu H R, Smith H L. Stable periodic orbits for a class of three-dimensional competitive systems.J Diff Equa, 1994, 110: 143-156.

同被引文献42

引证文献7

二级引证文献3

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