Singularity and Symmetry Analyses for Tuberculosis Epidemics

TL;DR

This paper applies symmetry and singularity analysis to a tuberculosis epidemic model, demonstrating its integrability and providing an explicit solution, which enhances understanding of the disease dynamics.

Contribution

It introduces a novel symmetry and singularity analysis approach to a tuberculosis model, establishing its integrability and deriving an explicit solution.

Findings

The model is shown to be integrable.

An explicit solution to the model is obtained.

The analysis offers new insights into tuberculosis dynamics.

Abstract

We analyse the model of Tuberculosis due to Blower (Nature Medecine 1(8) 815-821) from the point of view of symmetry and singularity analysis. From the study we provide a demonstration of the integrability of the model to present an explicit solution.