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一类具常数接触率传染病模型的稳定性分析
Stability Analysis of Some Epidemic Model with Constant Contacts
【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.
【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.
【基金】 国家自然科学基金(10801115)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2009年01期
- 【分类号】O175.26
- 【被引频次】1
- 【下载频次】349