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双线性发生率的艾滋病模型的研究
引用本文:李俊.双线性发生率的艾滋病模型的研究[J].渝州大学学报(自然科学版),2014(2):33-36.
作者姓名:李俊
作者单位:安徽工业大学数理学院,安徽马鞍山243002
摘    要:讨论了具有阶段结构和双线性发生率的艾滋病SI模型.在该模型中,通过分析讨论,得到了地方病平衡点存在的阈值条件,以及无病平衡点局部渐进稳定和全局渐进稳定的充分条件和地方病平衡点局部渐进稳定的充分条件.

关 键 词:平衡点  局部稳定  全局稳定

Research on AIDS Model with Bilinear Incidence Rate
LI Jun.Research on AIDS Model with Bilinear Incidence Rate[J].Journal of Yuzhou University(Natural Sciences Edition),2014(2):33-36.
Authors:LI Jun
Institution:LI Jun ( School of Science, Anhui University of Technology, Anhui Maanshan 243002, China)
Abstract:This paper discusses AIDS SI Model with periodic structure and with bilinear incidence rate, in this Model, obtains threshold value condition for the existence of the equilibrium point of local diseases through analysis and discussion, gets the sufficient condition for local asymptotic stability and for global asymptotic stability of disease-free equilibrium point and the sufficient condition for local asymptotic stability of the equilibrium point of local diseases.
Keywords:equilibrium point  local stability  global stability
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