tetano
Editor, Senior Moderator
Infect Dis Model
. 2020 Aug 28.
doi: 10.1016/j.idm.2020.08.007. Online ahead of print.
Replicating and projecting the path of COVID-19 with a model-implied reproduction number
Shelby R Buckman[SUP] 1 [/SUP], Reuven Glick[SUP] 1 [/SUP], Kevin J Lansing[SUP] 1 [/SUP], Nicolas Petrosky-Nadeau[SUP] 1 [/SUP], Lily M Seitelman[SUP] 1 [/SUP]
Affiliations
Abstract
We demonstrate a methodology for replicating and projecting the path of COVID-19 using a simple epidemiology model. We fit the model to daily data on the number of infected cases in China, Italy, the United States, and Brazil. These four countries can be viewed as representing different stages, from later to earlier, of a COVID-19 epidemic cycle. We solve for a model-implied effective reproduction number Rt
each day so that the model closely replicates the daily number of currently infected cases in each country. For out-of-sample projections, we fit a behavioral function to the in-sample data that allows for the endogenous response of Rt
to movements in the lagged number of infected cases. We show that declines in measures of population mobility tend to precede declines in the model-implied reproduction numbers for each country. This pattern suggests that mandatory and voluntary stay-at-home behavior and social distancing during the early stages of the epidemic worked to reduce the effective reproduction number and mitigate the spread of COVID-19.
Keywords: COVID-19; Coronavirus; Epidemics; Reproduction number; SEIR Model.
. 2020 Aug 28.
doi: 10.1016/j.idm.2020.08.007. Online ahead of print.
Replicating and projecting the path of COVID-19 with a model-implied reproduction number
Shelby R Buckman[SUP] 1 [/SUP], Reuven Glick[SUP] 1 [/SUP], Kevin J Lansing[SUP] 1 [/SUP], Nicolas Petrosky-Nadeau[SUP] 1 [/SUP], Lily M Seitelman[SUP] 1 [/SUP]
Affiliations
- PMID: 32875176
- PMCID: PMC7453227
- DOI: 10.1016/j.idm.2020.08.007
Abstract
We demonstrate a methodology for replicating and projecting the path of COVID-19 using a simple epidemiology model. We fit the model to daily data on the number of infected cases in China, Italy, the United States, and Brazil. These four countries can be viewed as representing different stages, from later to earlier, of a COVID-19 epidemic cycle. We solve for a model-implied effective reproduction number Rt
each day so that the model closely replicates the daily number of currently infected cases in each country. For out-of-sample projections, we fit a behavioral function to the in-sample data that allows for the endogenous response of Rt
to movements in the lagged number of infected cases. We show that declines in measures of population mobility tend to precede declines in the model-implied reproduction numbers for each country. This pattern suggests that mandatory and voluntary stay-at-home behavior and social distancing during the early stages of the epidemic worked to reduce the effective reproduction number and mitigate the spread of COVID-19.
Keywords: COVID-19; Coronavirus; Epidemics; Reproduction number; SEIR Model.