Programa de Matemáticas Aplicadas y Computación, Instituto Mexicano del Petróleo, México, DF, México.
Salud Publica Mex. 2011 Jan-Feb;53(1):40-7. doi: 10.1590/s0036-36342011000100007.
We present a model for the 2009 influenza epidemic in Mexico to describe the observed pattern of the epidemic from March through the end of August (before the onset of the expected winter epidemic) in terms of the reproduction number and social isolation measures.
The model uses a system of ordinary differential equations. Computer simulations are performed to optimize trajectories as a function of parameters.
We report on the theoretical consequences of social isolation using published estimates of the basic reproduction number. The comparison with actual data provides a reasonable good fit.
The pattern of the epidemic outbreak in Mexico is characterized by two peaks resulting from the application of very drastic social isolation measures and other prophylactic measures that lasted for about two weeks. Our model is capable of reproducing the observed pattern.
我们建立了一个墨西哥 2009 年流感疫情模型,以对截至 8 月底(在预期冬季疫情发生之前)的疫情的实际模式,从再生产数量和社会隔离措施的角度进行描述。
该模型使用了一个系统的常微分方程。通过计算机模拟来优化作为参数函数的轨迹。
我们报告了使用已发表的基本再生产数量的估计值进行社会隔离的理论后果。与实际数据的比较提供了一个合理的良好拟合。
墨西哥疫情爆发的模式表现为两个高峰,这是由于采取了非常严格的社会隔离措施和其他持续了大约两周的预防措施。我们的模型能够再现观察到的模式。