具有隔离策略和时滞的SIQR流行病模型的全局动力学

大连交通大学学报 Pub Date : 2011-01-01 DOI:10.1115/1.859919.paper254

Jing Xu, Nan-nan Zhang, Yonggang Ma

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引用次数: 0

摘要

研究了具有隔离策略和延迟的SIQR流行病模型的全局动力学。在SIQR流行病模型的基础上，考虑疾病的潜伏期，引入离散时滞，建立了描述H1N1流行病的具有时滞的动态模型。对该模型进行定性分析，得到了完全决定全局动力学的锐阈值、基本繁殖数R0，揭示了传染病的内在规律。

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Global Dynamics of an SIQR Epidemic Model with Quarantine Strategy and Time Delay

Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.

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大连交通大学学报

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