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  • 徐为坚,陈时东.具有免疫接种及饱和传染率的传染病模型分析[J].广西科学,2006,13(4):261-263.    [点击复制]
  • XU Wei-jian,CHEN Shi-dong.Analysis of an Infectious Disease Model with Immunization Vaccination and Saturating Infect Rate[J].Guangxi Sciences,2006,13(4):261-263.   [点击复制]
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具有免疫接种及饱和传染率的传染病模型分析
徐为坚1, 陈时东2
0
(1.玉林师范学院数学与计算机科学系, 广西玉林 537000;2.玉林师范学院物理与信息科学系, 广西玉林 537000)
摘要:
分析具有免疫接种、免疫消除、无出生死亡及饱和传染率的传染病模型,得到模型的无病平衡点及地方病平衡点全局渐近稳定的条件.
关键词:  数学模型  平衡点  全局渐近稳定  传染病
DOI:
投稿时间:2006-06-14
基金项目:国家自然科学基金资助项目(10471117);广西教育厅科研项目(200510211)联合资助。
Analysis of an Infectious Disease Model with Immunization Vaccination and Saturating Infect Rate
XU Wei-jian1, CHEN Shi-dong2
(1.Department of Mathematics and Computer Science, Yulin Teachers' College, Yulin, Guangxi, 537000, China;2.Department of Physics and Information Science, Yulin Teachers' College, Yulin, Guangxi, 537000, China)
Abstract:
Infectious disease model with Immunization Vaccination,Immunization elimination,naught birth and death,saturating infect rate are analyzed.And then the conditions on the global asymptotic stability of the non-disease equilibrium and local disease's equilibrium are obtained.
Key words:  mathematical model  equilibrium  global asymptotic stability  infectious disease

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