Theoretical examination of the pulse vaccination policy in the SIR epidemic model

被引:217
作者
Stone, L [1 ]
Shulgin, B
Agur, Z
机构
[1] Tel Aviv Univ, Dept Zool, IL-69978 Tel Aviv, Israel
[2] Tel Aviv Univ, Dept Cell Res & Immunol, IL-69978 Tel Aviv, Israel
关键词
epidemic models; pulse vaccination; mathematical models; differential equations; stability;
D O I
10.1016/S0895-7177(00)00040-6
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Based on a theory of population dynamics in perturbed environments, it was hypothesized that measles epidemics can be more efficiently controlled by pulse vaccination, i.e., by a vaccination effort that is pulsed over time [1]. Here, we analyze the rationale of the pulse vaccination strategy in the simple SIR epidemic model. We show that repeatedly vaccinating the susceptible population in a series of "pulses," it is possible to eradicate the measles infection from the entire model population. We derive the conditions for epidemic eradication under various constraints and show their dependence on the parameters of the epidemic model. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:207 / 215
页数:9
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