Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission

被引：53

作者：

Gao, Shujing ^{[1
]}

Liu, Yujiang ^{[1
]}

Nieto, Juan J. ^{[2
]}

Andrade, Helena ^{[2
]}

机构：

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

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 09期

关键词：

Seasonal variability; Mixed vaccination strategy; Epidemiology; Threshold; THRESHOLD; DYNAMICS; DISEASES;

D O I：

10.1016/j.matcom.2010.10.032

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

First vaccination (vaccinate at birth) and pulse vaccination are two methods used to control the spread of diseases as well as the elimination of them. Owing to the seasonal fluctuations in transmission of many diseases, we propose an impulsive SIRS epidemic model with periodic saturation incidence and vertical transmission. The effects of periodic varying contact rate and mixed vaccination strategy on eradication of infectious diseases are studied. A threshold for a disease to be extinct or endemic is established. Our results imply that the diseases will die out eventually if the basic reproduction number is less than unity, whereas the diseases will persist if the basic reproduction number is larger than unity. Finally, numerical simulations support our analytical conclusions. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1855 / 1868

页数：14

共 27 条

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