Various Logistic Curves in SIS and SIR Models

TL;DR

This paper derives various logistic curves for the removed, unsusceptible, and infectious populations from SIS and SIR models, considering both small and large basic reproduction numbers, expanding on previous work focused on small R0.

Contribution

It introduces new logistic curve derivations for multiple compartments in SIS and SIR models across different R0 regimes, enhancing understanding of epidemic dynamics.

Findings

Derived logistic curves for removed, unsusceptible, and infectious numbers.

Extended previous models to include large R0 cases.

Provided analytical expressions for different epidemic scenarios.

Abstract

In our previous paper, the logistic curve of the removed number was derived from SIR and SEIR models in the case of the small basic reproduction number. In this paper, we derive various logistic curves of the removed, unsusceptible and infectious numbers respectively from SIS and SIR models in the case of small and large basic reproduction numbers.