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arXiv 2004.13695q-bio.PEq-bio.QMstat.AP
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COVID-19:估计西班牙的利差,用概率模型求解逆问题

COVID-19: Estimating spread in Spain solving an inverse problem with a probabilistic model

Marcos Matabuena, Carlos Meijide-García, Pablo Rodríguez-Mier, Víctor Leborán

摘要:

我们引入了一个新的概率模型来估计新的SARS-CoV-2病毒沿地区或国家的实际传播。我们的模型根据概率模型通过逆问题模拟了群体中每个个体的行为;我们使用死亡率记录估计了康复和感染者的实际数量。此外,该模型是动态的,在这个意义上,它考虑到我们解决逆问题时引入的政策措施。在西班牙获得的结果具有特别的实际意义:在最坏的情况下,感染个体的数量可能比西班牙政府在4月$26$ $th$提供的数据高出$17$倍。假设统计数据中反映的死亡人数是正确的,在西班牙受影响最严重的地区之一马德里,$9.8$ %的人口可能受到病毒污染或已经从病毒中恢复过来。但是,如果我们假设死亡人数是官方数字的两倍,那么感染人数可能已经达到了$19.5\%$。在加利西亚,影响最小的地区之一,感染人数没有达到$2.5 \%$。根据我们的研究结果,我们可以:i)估计如果我们取消隔离,秋季之前新爆发的风险; ii)可以知道每个地区人口的免疫程度; iii)根据人口中感染或康复的人数预测或模拟未来将推出的政策的效果。

英文摘要:

We introduce a new probabilistic model to estimate the real spread of the novel SARS-CoV-2 virus along regions or countries. Our model simulates the behavior of each individual in a population according to a probabilistic model through an inverse problem; we estimate the real number of recovered and infected people using mortality records. In addition, the model is dynamic in the sense that it takes into account the policy measures introduced when we solve the inverse problem. The results obtained in Spain have particular practical relevance: the number of infected individuals can be $17$ times higher than the data provided by the Spanish government on April $26$ $th$ in the worst-case scenario. Assuming that the number of fatalities reflected in the statistics is correct, $9.8$ percent of the population may be contaminated or have already been recovered from the virus in Madrid, one of the most affected regions in Spain. However, if we assume that the number of fatalities is twice as high as the official numbers, the number of infections could have reached $19.5\%$. In Galicia, one of the regions where the effect has been the least, the number of infections does not reach $2.5 \%$ . Based on our findings, we can: i) estimate the risk of a new outbreak before Autumn if we lift the quarantine; ii) may know the degree of immunization of the population in each region; and iii) forecast or simulate the effect of the policies to be introduced in the future based on the number of infected or recovered individuals in the population.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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