期刊文献+

具有指数出生和连续预防接种的复合型SIR流行病模型

Compound SIR Epidemic Model with Exponential Birth Rate and Continuous Accination
下载PDF
导出
摘要 本文对依靠媒介传染且具有预防接种的复合型SIR流行病模型进行了研究,利用L iapunov泛函得到了无病平衡点和地方病平衡点的存在性以及稳定性条件. A vector disease SIR model with continuous vaccination is studied.We get the condition of the existence and stability of the disease-free equilibrium and disease equilibrium.
出处 《山西师范大学学报(自然科学版)》 2006年第4期18-22,共5页 Journal of Shanxi Normal University(Natural Science Edition)
基金 山西省青年科技研究基金资助(20021004)
关键词 依赖媒介的传染 预防接种 稳定性 vector disease model vaccination stability
  • 相关文献

参考文献7

  • 1[1]Takeuchi Y,Ma W,Beretta E.Global asymptotic properties of a delay SIR epidemic model with finite incubation times[J].Nonlinear Analysis,2000,42:931 -947.
  • 2[3]Kuang,Y.Delay differential equations with applicationsin popution dynamics[M].San Diego,Academic Press,1993.
  • 3[4]Cooke K L.Stability analysis for a vector disease model[J].Rocky Mount.J.Math,1979,9:31 ~42.
  • 4[5]Busenberg S,Cooke K L.Periodic solutions of a periodic nonliear delay differential eqation[J].SIAM J.Appl.Math,1978,35:704 ~721.
  • 5[6]Marcati P,Pozio A M.Global asymptotic stability for a vector disease model with spatial spread[J].Math.Biol,1980,9:179 ~ 187.
  • 6[7]Beretta E,Takeuchi Y.Global Stability of an SIR epidemic model with time delays[J].Math.Biol,1995,33:250 ~ 256.
  • 7[8]Beretta E,Takeuchi Y.Convergence results in SIR epidemic models with varying population size[J].Nonlinear Anal,1997,28:1909 ~ 1921.

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