期刊文献+

具有桥梁人群的HIV模型的持续生存

Persistence of a HIV model with Bridge-people
原文传递
导出
摘要 给出了一致持续性的一些概念及基本理论,建立了具有桥梁人群的H IV模型.利用所给结论研究了具有桥梁人群的H IV模型的一致持续性,从而说明艾滋病会流行起来. We start by recalling some basic definition and result about persistence, we formulate a model of Aids with Bridge-people. This paper studies the persistence of the model of Aids with bridge people. Moreover, the Aids would prevail.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第6期170-174,共5页 Mathematics in Practice and Theory
关键词 传染病模型 DI模型 局部渐近稳定性 全局渐近稳定性 一致持续生存 epidemic model DI model local asymptotic stability global asymptotic stability uniformly persistent
  • 相关文献

参考文献9

  • 1Hethcote H W. A thousand and epidemic models[C], // S. A. Levin, ed, Frontiers in Theoretical Biology. Spring-verlag, Berlin,1994. 504-515.
  • 2Hethcote H W. The mathematics of infectious disease[J]. SIAM Review,2000,42(4):599-653.
  • 3James M Hyman, Jia Li, E Ann Stanley. The differential infectivity and staged progression Models for the transmission of HIV[J]. Mathematical Biosciences, 1999,155:77-109.
  • 4Hyman J M, Li J, Stanley E A. Modeling the impact of random screening and contact tracing in Reducing the spread of HIV[J]. Math, Biosci,2003,181:17-54.
  • 5Litao Han, Andrea Puglise. Epidemics in two competing species[J]. Nonlinear Analysis: Real World Aplications (2007) ,doi: 10. 1016/j. nonrwa,2007,11. 005,1-23.
  • 6韩丽涛,原三领,马知恩.两种群相互竞争的SIRS传染病模型的持续生存[J].工程数学学报,2004,21(2):172-176. 被引量:5
  • 7Jordan D W, Smith P. Nonlinear Ordinary Differential Equations[M]. Oxford University Press, New York, 1987.
  • 8Thieme H R. Persistence under relaxed point-dissipativity (with application to an endemic model[J]. SIAM J Math Anal, 1993,24: 407-435.
  • 9Zhien Ma, Jianping Liu, Jia Li. Stability analysis for differential infectivity epidemic models [J].Nonlinear Analysis : Real World Application, 2003,4 : 841-856.

二级参考文献14

  • 1Kermack W O, Mckendrick A G. A contribution to the mathematical theory of epidemic[J]. Proc R Soc Lond, 1927; 115: 700 - 721
  • 2Hethcote H W. A thousand and epidemic models, in frontiers in theoretical biology[J]. Levin S A, ed,Springer-verlag, Berlin,1994;504 - 515
  • 3Hethcote H W. The mathematics of infectious disease[J]. SIAM Review,2000 ;42:599 - 653
  • 4Anderson R M, May R M. The invasion persistence, and spread of infectious diseases within animal and plant communites[J]. Phil Trans R Soc London, 1986 ;314:533 - 570
  • 5Hadeler K P, Freedman H I. Predator-prey populations with parasitic infection[J]. Math Bio1,1989;27:609 - 631
  • 6Venturino E. The influence of disease on Lokta-Volterra systems[J]. Rocky Mt J Math,1994;24:381 -402
  • 7Venturino E. Epidemics in predator-prey models: Disease in the prey[M]. In mathematical population dynamics: Analysis of Hetergeneity, One: Theory of Epidemics (Edited by O. Arion D Axelrod Kimmel M,Langlais M, Wuerz Publishing, Winnipeg, Canada,1995 ;381
  • 8Hudson PJ, Dobson A P, Newborn D. Do parasites make prey more vulnerable to predation? Red grouse and parasites[J]. J Anim Ecol, 1992; 61:681 - 692
  • 9Chattopadhyay J, Arion O. A predator-prey model with disease in the prey[J]. Nolinear Anal,1999;36;747 - 766
  • 10Xiao Y, Chen L. Modeling and analysis of a predator-prey model with disease in the prey[J]. Math Biosci, 2001; 171: 59 - 82

共引文献4

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