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

具有非线性传染率的SEIS传染病模型的定性分析 被引量：2

A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate
在线阅读 下载PDF
导出
摘要 讨论了一类具有非线性传染率的SEIS流行病模型,当基本再生数R0<1时,无病平衡点全局渐近稳定;基本再生数R0>1时,地方平衡点全局渐近稳定. An epidemic model with nonlinear incidence rate is investigated in this paper. If basic reproductive number R0〈1, the disease-free equilibrium point is global asymptotical stable; If basic reproductive number R0〉1, the endemic equilibrium point is global asymptotical stable.
作者 郭金生 唐玉玲
机构地区 河西学院数学与统计学院
出处 《河西学院学报》 2012年第5期41-46,共6页 Journal of Hexi University
关键词 传染病模型 传染率 基本再生数 全局渐近稳定性 Epidemic model Nonlinear incidence rate Global asymptotical stability
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献4

二级参考文献16

  • 1Liu Weimin, Levin S A, Lwasa Yoh. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models[J]. Math Biosci, 1986, 23(1): 187-204.
  • 2Ruan Shigui, Wang Weidi. Dynamical behavior of an epidemic model with a nonlinear incidence rate[J]. Differential Equations, 2003, 188: 135-163.
  • 3Hethcote H, Ma Zhien, Liao Shengbing. Effects of quarantine in six endemic models for infectious diseases[J]. Math Biosci, 2002, 180: 141-160.
  • 4Li M Y, Graef J R, Wang Liancheng, et al. Global dynamics of an SEIR epidemic model with a varying total population size [J]. Math Biosci, 1999, 160: 191-213.
  • 5LIU Wei-min, LEVIN S A, LWASA Y. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models [J]. Math Biosci, 1986, 23(1): 187-204.
  • 6RUAN Shi-gui, WANG Wen-di. Dynamical behavior of an epidemic model with a nonlinear incidence rate[J]. J Differential Equations, 2003, 188: 135-163.
  • 7HETHCOTE H, MA Zhi-en, LIAO Sheng-bing. Effects of quarantine in six endemic models for infectious diseases[J]. Math Biosci, 2002, 180: 141-160.
  • 8LI M Y, GTAEF J R, WANG Lian-cheng, et al. Global dynamics of an SEIR epidemic model with a varying total population size [J]. Math Biosci, 1999, 160:191-213.
  • 9LIU Weimin, LEVIN S A, LWASA You. Influence of Nonlinear Incidence Rates upon the Behavior of SIRS Epidemiologieal Models [J]. Math Biosci., 1986, 23(1):187-204.
  • 10RUAN Shigui, WANG Wendi. Dynamical Behavior of an Epidemic Model with a Nonlinear Incidence Rate[ J ]. Journal of Differential Equations, 2003,188 : 135 - 163.

共引文献48

同被引文献14

  • 1李建全,马知恩.两类带有确定潜伏期的SEIS传染病模型的分析[J].系统科学与数学,2006,26(2):228-236. 被引量：12
  • 2王拉娣,李建全.一类带有非线性传染率的SEIS传染病模型的定性分析[J].应用数学和力学,2006,27(5):591-596. 被引量：22
  • 3王高雄,周之铭.常微分方程[M].北京:高等教育出版社,2007.
  • 4徐明曜,黄建华,李慧陵,等.有限群导引(下)[M].3版.北京科学出版社,2001.
  • 5陆征一,周义仓.数学与生物发展[M].北京:科学出版社,2006.
  • 6陈兰荪,陈键.非线性生物学动力系统[M].北京:科学出版社,1993.
  • 7Hethcote H, Ma Zhien, Liao Shengbing. Effects of quarantine in six endemic models for infectious Diseases [ J ]. Math Biosci, 2002, 180:135 - 163.
  • 8Li M Y, Graef J R, Wang Liancheng, et al. Global dynamics of an SEIR epidemic model with a varying total population size[ J]. Math Biosci, 1999,160 : 191 - 213.
  • 9VANDEN DRIESSCHE P, WATMOUGH J. Reproduction numbers and subthreshold endemic equilibria for compar- mental models of disease transmission [ J ]. Math biosci, 2002,180 ( 1 ) :29 - 48.
  • 10LASALLE J P. The Stability of Dynamical System [ M ]. Regional Conference Series in Applied Mathematics Phila- dephia :SIAM, 1976.

引证文献2

二级引证文献8

河西学院学报
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