Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Lattice Model for COVID-19 Epidemic

Version 1 : Received: 7 September 2020 / Approved: 17 September 2020 / Online: 17 September 2020 (03:04:02 CEST)

How to cite: Gavalas, G. A Lattice Model for COVID-19 Epidemic. Preprints 2020, 2020090367. Gavalas, G. A Lattice Model for COVID-19 Epidemic. Preprints 2020, 2020090367.


Susceptible, infective, recovered, and hospitalized/isolated individuals are placed on the cells of a nxn square lattice, where each cell is occupied by a single individual or is vacant. At discrete time units (typically one day each) all susceptibles and infectives execute a random movement and when a coincidence of the two types occurs the susceptible is converted to infective status according to some probability. Infectives are labelled by the number of days since originally infected. At each time increment the age label of the infectives is increased by one unit. When the label reaches a number like 15 or 20 days the susceptibles recover with some probability or become isolated/hospitalized. Upon reaching some age the latter types either recover or die. Probabilities for the movements and conversions from one status to another are implemented by random numbergeneration. Simulations were carried out to investigate the effect of several probability and age parameters, the size of population (proportional to nxn) and density (related to fraction of occupied cells), and the size of the movements. Mid-term gradual conversion of susceptibles to isolated was explored as intervention policy.


lattice model; computer simulation; COVID-19


Computer Science and Mathematics, Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0

Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.