一类具有一般非线性接触率和隔离率的染病年龄结构SIRS传染病模型研究  

The Study on an Infection-Age Dependent SIRS Epidemic Model with General Nonlinear Contact Rate and Screening

作　　者：陈瑛[1] 李杰[2] 李学志[3] 

机构地区：[1]漯河职业技术学院,河南漯河462002 [2]商丘职业技术学院,商丘476100 [3]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《数学的实践与认识》2008年第16期97-103,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671166)

摘　　要：首先,建立了一类具有一般非线性接触率及隔离函数的染病年龄结构SIRS传染病模型.然后综合运用Bellman-Grownall引理、不动点定理及解的延拓方法讨论模型全局非负解的存在性及惟一性.An SIRS epidemic model with general nonlinear contact rate, general screening function and infection-age dependence is first formulated. Subsequntly, by the Bellman- Gronwall lemma, the fixed point theorem and the extension method, the existence and uniqueness of the globally non-negative solultion are discussed.

关 键 词：传染病模型 隔离 接触率 染病年龄结构 

分 类 号：R181.3[医药卫生—流行病学]