Modeling pandemics

TL;DR

This paper reviews various pandemic models, data fitting methods, and numerical solutions, providing a comprehensive overview of modeling approaches relevant up to early 2021.

Contribution

It offers a detailed review of pandemic modeling techniques, including microscopic and rate equation models, with insights into data fitting and numerical methods.

Findings

Reviewed multiple pandemic models used in recent years

Discussed data fitting and numerical solution techniques

Provided detailed appendices on model implementations

Abstract

We review several models for pandemics that plagued the USA and the world in the past decade. Methods of data fitting are reviewed and several types of microscopic and rate equation models are discussed and numerically solved. This paper was written in March of 2021 and newer data is now available; however some of the models and techniques we used to numerically study these models are still of interest. Several appendices discuss in detail these models.