吉林大学学报（理学版）2016，Vol.54Issue(2)：171-176,6.DOI:10.13413/j.cnki.jdxblxb.2016.02.04
具有饱和接触率的 SIQRS预防接种模型的控制策略
Control Strategies of SIQRS Vaccinate Model with Saturating Contact Rate
摘要
Abstract
A SIQRS epidemic model with saturating contact rate, isolation term and impulsive vaccination was established and analyzed. By means of Floquet theorem, impulsive differential inequality and limit system theory,the global asymptotic stable threshold conditions of disease-free periodic solution in the SIQRS epidemic model were obtained.Comparing the effectiveness of the two control strategies of impulsive vaccination and isolation shows that using the two strategies concurrently is superior to only one strategy for eradicating the disease.关键词
SIQRS 传染病模型/脉冲预防接种/隔离/无病周期解/基本再生数Key words
SIQRS epidemic model/impulsive vaccination/isolation/disease-free periodic solution/basic reproduction number分类
数理科学引用本文复制引用
赵明,吕显瑞..具有饱和接触率的 SIQRS预防接种模型的控制策略[J].吉林大学学报（理学版）,2016,54(2):171-176,6.基金项目
国家自然科学基金(批准号:11201008)和吉林省教育厅科学技术研究项目(批准号:2015157) （批准号:11201008）
