北华大学学报（自然科学版）2013，Vol.14Issue(3)：256-261,6.DOI:10.11713/j.issn.1009-4822.2013.03.002
具有时滞和非线性发生率的离散SIRS传染病模型的持久性
Permanence for a Delayed Discrete-time SIRS Epidemic Model with Nonlinear Incidence Rate
摘要
Abstract
A delayed discrete-time SIRS epidemic model with nonlinear incidence rate is studied.By using the inductive method,the comparison principle of diffrence equationand constructing appropriate Lyapunov function,the permanence of solution for this model is established,when the basic reproductive number R0 ＞ 1.关键词
离散SIRS传染病模型/非线性发生率/基本再生数/正性/持久性Key words
discrete SIRS epidemic model/ nonlinear incidence rates/ basic reproductive number/ positive/permanence分类
数理科学引用本文复制引用
李浩,滕志东,王蕾..具有时滞和非线性发生率的离散SIRS传染病模型的持久性[J].北华大学学报（自然科学版）,2013,14(3):256-261,6.基金项目
国家自然科学基金项目(11271312,11201399) （11271312,11201399）
新疆维吾尔自治区高校科研计划项目(XJEDU2012S20). （XJEDU2012S20）
