Epidemics on networks with large initial conditions or changing structure.

Epidemics on networks with large initial conditions or changing structure.
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DOI:
10.1371/journal.pone.0101421
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Miller JC
Miller JC
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Miller JC

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在本文中,我们扩展了以前的工作,推导出控制传染病在网络上传播的动力学方程。以前的工作已经隐含地假设,疾病是由一个无穷小的人口比例。我们的修改允许我们考虑任意大的初始感染比例。这有助于解决早期工作中的一个明显悖论,即如果最初感染的人太多,易感个体的数量可能会增加。它还有助于解释在模拟和理论之间观察到的明显的小偏差。这种修改的一个优点是,它使我们能够解释流行病期间人口结构或行为的变化。
In this paper we extend previous work deriving dynamic equations governing infectious disease spread on networks. The previous work has implicitly assumed that the disease is initialized by an infinitesimally small proportion of the population. Our modifications allow us to account for an arbitrarily large initial proportion infected. This helps resolve an apparent paradox in earlier work whereby the number of susceptible individuals could increase if too many individuals were initially infected. It also helps explain an apparent small deviation that has been observed between simulation and theory. An advantage of this modification is that it allows us to account for changes in the structure or behavior of the population during the epidemic.
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