Simulation Study on Effect of Lockdown and Recovery Time on Spread of COVID-19 in High and Low-Density Areas

18 Pages Posted: 15 Apr 2020

See all articles by Moses Kartha

Moses Kartha

Indian Institute of Technology (IIT), Bombay

Habib Pathan

Savitribai Phule Pune University (SPPU)

Date Written: April 10, 2020

Abstract

We have carried out a Monte-Carlo simulation study of diffusion of healthy and infected disks for low and high density to understand the spread of COVID-19. Each disk has a fixed size and consists of an infecting region and is allowed to move in any random direction. When a healthy disk enters into the infecting region of the other disk, it also turns to an infected one mimicking the spread of COVID-19. Once infected it become again healthy after a fixed recovery time, τ. We show that when the density disk is low, for the low value of τ, the infected cases can be brought down to zero even without lockdown. When the lockdown is not applied, for higher values of τ, the infected cases reaches a saturation value, Ns which shows a power-law behavior, Ns ~ τβ, where β = 0.58. When the density of the system is high, the number of infected cases goes to zero only for a complete lockdown and the saturation value of infected case Ns is found independent of recovery time.

Keywords: Simulation, Lockdown and Recovery Time, COVID-19, High and Low-Density Areas

Suggested Citation

Kartha, Moses and Pathan, Habib, Simulation Study on Effect of Lockdown and Recovery Time on Spread of COVID-19 in High and Low-Density Areas (April 10, 2020). Available at SSRN: https://ssrn.com/abstract=3572697 or http://dx.doi.org/10.2139/ssrn.3572697

Moses Kartha

Indian Institute of Technology (IIT), Bombay ( email )

MUMBAI, Maharashtra 400076
India

Habib Pathan (Contact Author)

Savitribai Phule Pune University (SPPU) ( email )

Ganeshkhind
Ganeshkhind
Pune, Maharashtra 411007
India

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