| 一类具常数接触率传染病模型的稳定性分析 |
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| 引用本文： | 田灿荣.一类具常数接触率传染病模型的稳定性分析[J].生物数学学报,2009,24(1):47-56. |
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| 作者姓名： | 田灿荣 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002;盐城工学院,基础部,江苏,盐城,224003
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| 摘 要： | 本文研究了一类具常数接触率的传染病模型,用上下解方法和Liapnuov泛函讨论了地方病平衡点及无病平衡点的渐近行为,得到了各自全局稳定的充分条件.
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| 关 键 词： | SIR模型 无病平衡点 地方病平衡点 |
Stability Analysis of Some Epidemic Model with Constant Contacts |
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| TIAN Can-rong.Stability Analysis of Some Epidemic Model with Constant Contacts[J].Journal of Biomathematics,2009,24(1):47-56. |
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| Authors: | TIAN Can-rong |
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| Institution: | TIAN Can-rong(1 School of Mathematical Science, Yangzhou University, Yangzhou Jiangsu 225002 China;2 Basic Science Department, Yancheng Institute of Technology, Yancheng Jiangsu 224003 China) |
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| Abstract: | In this paper it is considered some epidemic model with constant contact.Upper and lower solution method and Liapnuov functional method are used to discuss the stabilities of the disease-free equilibrium and the endemic equilibrium.Sufficient conditions are given such that the disease-free equilibrium and the endemic equilibrium are stable. |
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| Keywords: | SIR model Disease-free equilibrium Endemic equilibrium |
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