Centro de Investigación en Matemáticas, 36023 Guanajuato, Guanajuato, Mexico.
Facultad de Ciencias, Universidad Autónoma de Baja California, 22860 Baja California, Mexico.
Math Biosci Eng. 2020 Jun 15;17(4):4165-4183. doi: 10.3934/mbe.2020231.
In this paper we develop a compartmental epidemic model to study the transmission dynamics of the COVID-19 epidemic outbreak, with Mexico as a practical example. In particular, we evaluate the theoretical impact of plausible control interventions such as home quarantine, social distancing, cautious behavior and other self-imposed measures. We also investigate the impact of environmental cleaning and disinfection, and government-imposed isolation of infected individuals. We use a Bayesian approach and officially published data to estimate some of the model parameters, including the basic reproduction number. Our findings suggest that social distancing and quarantine are the winning strategies to reduce the impact of the outbreak. Environmental cleaning can also be relevant, but its cost and effort required to bring the maximum of the outbreak under control indicate that its cost-efficacy is low.
本文建立了一个房室传染病模型来研究 COVID-19 疫情爆发的传播动力学,以墨西哥作为一个实际案例。特别地,我们评估了家庭隔离、社交距离、谨慎行为和其他自我施加的措施等可行控制干预措施的理论影响。我们还研究了环境清洁和消毒以及政府对感染者的隔离的影响。我们使用贝叶斯方法和官方公布的数据来估计模型的一些参数,包括基本再生数。我们的研究结果表明,社交距离和隔离是减少疫情影响的制胜策略。环境清洁也可能相关,但要控制疫情,所需的成本和努力表明其成本效益较低。