# Mathematical Modeling Study of the 2020 CoVID-19 Outbreak in the United States

11 Pages Posted: 14 Apr 2020 Last revised: 22 Apr 2020

See all articles by Durgesh Sinha

## Durgesh Sinha

Temple university; Rowan College at Burlington College; Strayer University ( Mathematics); Community College of Philadelphia; MCCC (Mathematics)

## Nicholas Klahn

Rowan College at Burlington College

Date Written: April 12, 2020

### Abstract

A mathematical model was developed for the currently evolving COVID-19 outbreak. Data analysis and model fitting using Latin Hypercube Sampling partial Correlation Coefficient Method was used to determine the modelâ€™s parameters and basic reproduction numbers. The infectivity values from symptomatic infectious people was 0.118461389 (95% CI [0.1136278, 0.12329497]), asymptomatic transmission was 0.100111427 (95% CI [0.1000297, 0.10019314]), and quarantined transmission was 0.057337278 (95% CI [0.0504738, 0.0642008]). The United states reached its peak basic reproduction number on March 10th where R0=58, but it has since lowered to 1.47 as of April 5th. Also, those in quarantine had contributed the most to the basic reproduction number, with asymptomatic people being second, and regular symptomatic people contributing the least. Our simulations showed that the United States has reached its peak occurred on April 11, 2020 with a total 461,700 number of cases and it will reach on June 12, 2020 where the confirmed case count would reach 1.439 million. As for the longevity of the virus, our prediction shows that it could be under preventive measure within two years by February 10, 2022, would be 14,130.

Keywords: COVID-19, US population, Mathematical Modeling, SARS-CoV-2, 2019-nCoV

Suggested Citation

Sinha, Durgesh and Klahn, Nicholas, Mathematical Modeling Study of the 2020 CoVID-19 Outbreak in the United States (April 12, 2020). Available at SSRN: https://ssrn.com/abstract=3573877 or http://dx.doi.org/10.2139/ssrn.3573877