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首页> 外文期刊>Communications on pure and applied analysis >PARADOXICAL PHENOMENA AND CHAOTIC DYNAMICS IN EPIDEMIC MODELS SUBJECT TO VACCINATION
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PARADOXICAL PHENOMENA AND CHAOTIC DYNAMICS IN EPIDEMIC MODELS SUBJECT TO VACCINATION

机译:疫情疫苗疫苗中的矛盾现象和混沌动态

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摘要

An alternative to the constant vaccination strategy could be the administration of a large number of doses on "immunization days" with the aim of maintaining the basic reproduction number to be below one. This strategy, known as pulse vaccination, has been successfully applied for the control of many diseases especially in low-income countries. In this paper, we analytically prove (without being computer-aided) the existence of chaotic dynamics in the classical SIR model with pulse vaccination. To the best of our knowledge, this is the first time in which a theoretical proof of chaotic dynamics is given for an epidemic model subject to pulse vaccination. In a realistic public health context, our analysis suggests that the combination of an insufficient vaccination coverage and high birth rates could produce chaotic dynamics and an increment of the number of infectious individuals.
机译:恒定疫苗接种策略的替代方案可以是在“免疫日”上给予大量剂量,其目的是将基本的再生数保持在一个以下。 这种称为脉冲疫苗接种的策略已成功地申请控制许多疾病,特别是在低收入国家。 在本文中,我们分析了(不具有计算机辅助)的存在性脉冲疫苗的经典SIR模型中的混沌动力学存在。 据我们所知,这是第一次进行混沌动态的理论证明,对脉冲疫苗接种进行疫情模型。 在一个现实的公共卫生背景下,我们的分析表明,疫苗接种覆盖率和高出生率不足的组合可以产生混沌动态和传染性人数的增量。

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