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

作　　者：赵明[1] 吕显瑞[2] 

机构地区：[1]北华大学数学与统计学院,吉林吉林132013 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2016年第2期171-176,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11201008);吉林省教育厅科学技术研究项目(批准号:2015157)

摘　　要：建立并分析一类具有饱和接触率、隔离项和脉冲预防接种的SIQRS传染病模型.通过综合运用Floquet定理、脉冲微分不等式和极限系统理论,获得了保证SIQRS传染病模型的无病周期解全局渐近稳定的阈值条件.通过比较脉冲预防接种和隔离两种控制策略的有效性,表明同时使用脉冲预防接种和隔离两种策略比单独应用一种策略更有效.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 

分 类 号：O175.13[理学—数学]