SOME Special Solutions of a Nonlinear System of 4 Ordinary Differential Equations Recently Introduced to Investigate the Evolution of Human Respiratory Virus Epidemics

TL;DR

This paper identifies explicit solutions for a nonlinear system of four ODEs modeling respiratory virus epidemics, using algebraic methods under specific parameter constraints.

Contribution

It provides a novel algebraic approach to find explicit solutions of a recently introduced epidemic model, enhancing understanding of its dynamics.

Findings

Explicit solutions are obtainable under certain parameter conditions.

Algebraic methods simplify analysis of the nonlinear epidemic model.

The approach offers potential for better epidemic prediction and control.

Abstract

A system of 4 nonlinearly-coupled Ordinary Differential Equations has been recently introduced to investigate the evolution of human respiratory virus epidemics. In this paper we point out that some explicit solutions of that system can be obtained by algebraic operations, provided the parameters of the model satisfy certain constraints.