Cruz-Pacheco Gustavo, Bustamante-Castañeda José F, Caputo Jean G, Jiménez-Corona María E, Ponce-de-León-Rosales Samuel
Department of Mathematics and Mechanics, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS), National University of Mexico (UNAM), Mexico City, Mexico.
Graduate Program in Mathematical Sciences, UNAM, Mexico City, Mexico.
Rev Invest Clin. 2020;72(3):138-143. doi: 10.24875/RIC.20000113.
On January 23, 2020, China imposed a quarantine on the city of Wuhan to contain the SARS-CoV-2 outbreak. Regardless of this measure, the new infection has spread to several countries around the world.
We developed a method to study the dissemination of this infection by airline routes and provide estimations of the time of arrival of the outbreak to different cities.
Using the Kermack and McKendrick model complemented with diffusion on a graph composed of nodes and edges, we made an analysis of COVID-19 dispersion to other cities by air travel.
The estimation was accurate in that it was possible to predict in the middle of February 2020 the arrival of the first outbreak in Mexico, which eventually occurred between March 20 and 30. This estimation was robust with respect to small changes in epidemiological parameters at the other nodes.
The estimation of the time of arrival of the outbreak from its epicenter, allows for a time period to implement and strengthen preventive measures aimed at the general population as well as to strengthen hospital infrastructure and training of human resources. In the present study, this estimation was accurate, as observed from the real data of the beginning of the outbreak in Mexico City up to April 6, 2020.
2020年1月23日,中国对武汉市实施隔离措施以遏制严重急性呼吸综合征冠状病毒2(SARS-CoV-2)疫情。尽管采取了这一措施,新感染病例仍已传播至全球多个国家。
我们开发了一种方法,通过航线研究这种感染的传播情况,并估计疫情到达不同城市的时间。
使用Kermack和McKendrick模型,并辅以在由节点和边组成的图上的扩散,我们分析了新冠病毒通过航空旅行向其他城市的传播情况。
该估计是准确的,因为能够在2020年2月中旬预测到墨西哥首次出现疫情,最终疫情于3月20日至30日之间出现。对于其他节点上流行病学参数的微小变化,该估计具有稳健性。
从疫情震中估计疫情到达时间,可为实施和加强针对普通人群的预防措施留出时间,同时也能加强医院基础设施建设和人力资源培训。在本研究中,从墨西哥城疫情开始直至2020年4月6日的实际数据来看,该估计是准确的。