Analysis of SIR epidemic model with information spreading of awareness
Analysis of SIR epidemic model with information spreading of awareness
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DOI：
10.1016/j.chaos.2018.12.017
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发表时间：
2019-02-01
影响因子：
7.8
通讯作者：
Tanimoto, Jun
中科院分区：
文献类型：
--
作者：
Kabir, K. M. Ariful;Kuga, Kazuki;Tanimoto, Jun
意识的信息传播可以促使人们的行为，以减轻传染的可能性，并有助于迅速恢复。利用房室模型，假设种群为无穷大且充分混合，通过解析方法建立了一个具有未知过程的易感-感染-繁殖（SIR）动态系统（SIR-UA）.此外，群体中的个体可以分为六种状态：无意识易感（S-U）、意识易感（S-A）、无意识感染（I-U）、意识感染（I-A）、无意识康复（R-U）和意识康复（R-A）。与以往的模型相比，新的动态方程组描述了更广泛的情况，并纳入了所有可能的状态Unaware-Aware（UA）与SIR过程。详细讨论了意识的影响，以说明意识对带时间步长的传染病模型的意义。在此基础上，针对不同的物理环境，研究了传染病感知模型中参数的性质。最后，探索完整的相图来显示易感和康复个体在各种参数下的流行规模。(C)2018爱思唯尔有限公司版权所有。
The information spreading of awareness can prompt the manners of human to ease the infectious possibility and assist to recover swiftly. A dynamic system of Susceptible-Infected-Recovered (SIR) with Unaware-Aware (UA) process (SIR-UA) is newly developed by using compartment model through analytical approach with assumption of an infinite and well-mixed population. Moreover, individuals in a population can be classified into six states as unaware susceptible(S-U), aware susceptible(S-A), unaware infected(I-U), aware infected(I-A), unaware recovered(R-U), and aware recovered(R-A). Compared with previous models, the new dynamic set of equations described the more widespread situation and incorporated all possible states of Unaware-Aware (UA) with SIR process. The effect of awareness is explored carefully to show the significance on epidemic model with time steps. Consequently, the properties of parameters on the epidemic awareness model are studied to deliberate different physical situations. Finally, full phase diagrams are explored to show the epidemic sizes of susceptible and recovered individuals for various parameters. (C) 2018 Elsevier Ltd. All rights reserved.