A susceptible-infected epidemic model with voluntary vaccinations

A susceptible-infected epidemic model with voluntary vaccinations
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DOI:
10.1007/s00285-006-0006-1
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发表时间:
2006-08-01
影响因子:
1.9
通讯作者:
Chen, Frederick H.
Chen, Frederick H.
中科院分区:
数学4区
文献类型:
--
作者:
Chen, Frederick H.

文献摘要

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建立了一个具有内源性行为变化的易感传染病模型,分析了预防性疫苗对疾病流行的影响。结果表明,在自愿接种的情况下,是否存在地方病均衡并不取决于疫苗的效力或菌剂类型的分布。虽然在没有疫苗的情况下,地方性均衡是独一无二的,但疫苗的可获得性可能导致疾病流行率和疫苗覆盖率不同的多种地方性均衡。根据制剂类型的分布,引入疫苗,或者如果有疫苗接种补贴,可能会导致更危险的行为,从而增加疾病流行率。
An susceptible-infected epidemic model with endogenous behavioral changes is presented to analyze the impact of a prophylactic vaccine on disease prevalence. It is shown that, with voluntary vaccination, whether an endemic equilibrium exists or not does not depend on vaccine efficacy or the distribution of agent-types. Although an endemic equilibrium is unique in the absence of a vaccine, the availability of a vaccine can lead to multiple endemic equilibria that differ in disease prevalence and vaccine coverage. Depending on the distribution of agent-types, the introduction of a vaccine or, if one is available, a subsidy for vaccination can increase disease prevalence by inducing more risky behavior.