Simulation of deterministic compartmental models for infectious diseases dynamics

TL;DR

This paper explores classical compartmental models for infectious disease dynamics, demonstrating their use through numerical simulations and providing routines for reproducibility.

Contribution

It offers a detailed analysis of classical epidemic models and supplies simulation routines to facilitate further research.

Findings

Numerical simulations illustrate disease spread scenarios.

Classical models can predict various epidemic outcomes.

Reproducible routines support future studies.

Abstract

Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to investigate the transmission and spread of infectious diseases. In other words, mathematical model simulation can be used to analyse the dynamics of infectious diseases, aiming to understand the effects and how to control the spread. In general, these models are based on compartments, where each compartment contains individuals with the same characteristics, such as susceptible, exposed, infected, and recovered. In this paper, we cast further light on some classical epidemic models, reporting possible outcomes from numerical simulation. Furthermore, we provide routines in a repository for simulations.