Kiskowski Maria A
Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama, USA.
PLoS Curr. 2014 Nov 13;6:ecurrents.outbreaks.c6efe8274dc55274f05cbcb62bbe6070. doi: 10.1371/currents.outbreaks.c6efe8274dc55274f05cbcb62bbe6070.
In mid-October 2014, the number of cases of the West Africa Ebola virus epidemic in Guinea, Sierra Leone and Liberia exceeded 9,000 cases. The early growth dynamics of the epidemic has been qualitatively different for each of the three countries. However, it is important to understand these disparate dynamics as trends of a single epidemic spread over regions with similar geographic and cultural aspects, with likely common parameters for transmission rates and reproduction number R0.
We combine a discrete, stochastic SEIR model with a three-scale community network model to demonstrate that the different regional trends may be explained by different community mixing rates. Heuristically, the effect of different community mixing rates may be understood as the observation that two individuals infected by the same chain of transmission are more likely to share the same contacts in a less-mixed community. Local saturation effects occur as the contacts of an infected individual are more likely to already be exposed by the same chain of transmission.
The effects of community mixing, together with stochastic effects, can explain the qualitative difference in the growth of Ebola virus cases in each country, and why the probability of large outbreaks may have recently increased. An increase in the rate of Ebola cases in Guinea in late August, and a local fitting of the transient dynamics of the Ebola cases in Liberia, suggests that the epidemic in Liberia has been more severe, and the epidemic in Guinea is worsening, due to discrete seeding events as the epidemic spreads into new communities.
A relatively simple network model provides insight on the role of local effects such as saturation that would be difficult to otherwise quantify. Our results predict that exponential growth of an epidemic is driven by the exposure of new communities, underscoring the importance of limiting this spread.
2014年10月中旬,几内亚、塞拉利昂和利比里亚的西非埃博拉病毒疫情病例数超过9000例。这三个国家中,疫情的早期增长动态在性质上有所不同。然而,将这些不同的动态理解为单一疫情在具有相似地理和文化特征地区的传播趋势很重要,传播率和再生数R0可能具有共同参数。
我们将离散随机的SEIR模型与三尺度社区网络模型相结合,以证明不同的区域趋势可能由不同的社区混合率来解释。直观地说,不同社区混合率的影响可以理解为这样一种观察结果:在混合程度较低的社区中,由同一传播链感染的两个人更有可能有相同的接触者。当受感染个体的接触者更有可能已经被同一传播链感染时,就会出现局部饱和效应。
社区混合效应与随机效应共同可以解释每个国家埃博拉病毒病例增长的定性差异,以及为何近期大规模疫情爆发的可能性增加。8月下旬几内亚埃博拉病例数增加,以及对利比里亚埃博拉病例瞬态动态的局部拟合表明,随着疫情蔓延到新社区,由于离散的播种事件,利比里亚的疫情更为严重,几内亚的疫情正在恶化。
一个相对简单的网络模型为诸如饱和等局部效应的作用提供了见解,否则这些效应难以量化。我们的结果预测,疫情的指数增长是由新社区的暴露驱动的,这突出了限制这种传播的重要性。