Introduction
The following document shows an analysis of the data associated with the coronavirus pandemic (Covid19).
The analysis is divided into two parts, the first comprises general graphs of the data and then a numerical simulation is performed using the logistic growth model (LGM) in order to forecast the possible total number of cases by country.
The data used for this analysis are updated daily and are stored in Data Repository by Johns Hopkins CSSE
Terms used
Recovery ratio (RR)
The proportion of people recovered from a specified disease among all individuals diagnosed with the disease over a certain period of time.
\[RecoveryRatio (RR) = \frac{Recovered}{Confirmed}\]
Case Fatality ratio (CFR)
Case fatality rate, also called case fatality ratio, in epidemiology, the proportion of people who die from a specified disease among all individuals diagnosed with the disease over a certain period of time.
https://www.britannica.com/science/case-fatality-rate
\[Case Fatality Ratio (CFR) = \frac{Deaths}{Confirmed}\]
Logistic Growth Model (LGM)
Clark (2011) propose a new empirical model based on logistic growth models.
A nonlinear model formula including variables and parameters.
\[ProjectedCases = \frac{(K * t ^ n)}{(a + t ^ n)}\]
Where:
Cases = Projected Case
K = Carrying capacity
n = Hyperbolic exponent
a = Constant
t = Time
The best-fit nonlineal model is obtained by an iterative least-squared method.
The logistic growth model was used to project the progression of the disease in certain countries.
The most relevant result of the model corresponds to the projected cases, this term is associated with the maximum number of cases estimated by the model for each country, where the model is executed.
Projected - Confirmed Cases Ratio
Assuming that the total number of projected cases corresponds to the maximum number of cases that would occur in a given country, the projected - confirmed cases ratio is calculated using the following expression.
\[ProjectedConfirmedCases Ratio = 100 - (100 * \frac{(max(Projected Case) - max(Confirmed))}{ max(Projected Case)}\]
Global Case
Average Cases (Last three days)
Global Case Summary
Country Cases
China
The Americas
Mexico
United State (US)
Argentina
Brazil
Canada
Colombia
Chile
Peru
Venezuela
Europe
Italy
Spain
United Kingdom
France
Germany
Switzerland
Norway
Others
Japan
Korea, South
Iran
Russia
Israel
References
Source data: https://github.com/CSSEGISandData/COVID-19.git
Clark, A.J. (2011). “Decline Curve Analysis in Unconventional Resource Plays Using Logistic Growth Models.” M.S. Thesis, The University of Texas at Austin, August 2011.