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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
传染病模型
隔离
接触率
染病年龄结构
epidemic model
screening
contact rate
infection-Age dependence
