An SIR epidemic model with time-varying pulse control schemes and saturated infectious force

被引：27

作者：

He, Yuying ^{[1
]}

Gao, Shujing ^{[1
,2
]}

Xie, Dehui ^{[1
]}

机构：

[1] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China

[2] Chinese Ctr Dis Control & Prevent, Natl Inst Parasit Dis, Shanghai 200025, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 16-17期

基金：

中国博士后科学基金;

关键词：

Time-varying pulse vaccination; Time-varying pulse treatment; Saturation incidence; Threshold value; VACCINATION STRATEGY; DYNAMICS; SUSCEPTIBILITY; SEASONALITY; DISEASES;

D O I：

10.1016/j.apm.2013.03.035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Vaccination and treatment policies are two methods used to control the spread of disease. In this paper, we study an SIR epidemic model with time-varying pulse vaccination of the susceptible and time-varying pulse treatment of the infected population. Owing to the seasonal fluctuations in transmission of many disease, we propose the model with periodic saturation incidence. The Threshold value R-0 is established. We demonstrate that the disease dies out for R-0 < 1, whereas it is permanent for R-0 > 1. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：8131 / 8140

页数：10

共 22 条

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