Lagrange and Hamilton geometries applied to a dynamical sistem governing COVID-19 disease

TL;DR

This paper applies advanced geometric methods to model the COVID-19 spread, analyzing stability and energy-like properties of the system using Lagrange-Hamilton geometry.

Contribution

It introduces a novel geometric framework based on Lagrange-Hamilton structures for modeling COVID-19 dynamics, including stability analysis.

Findings

Jacobi stability of the model analyzed

Lagrangian Yang-Mills energy characterized

Nonlinear connection structures developed

Abstract

In this paper we develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a dynamical system governing the spreading of COVID-19 disease. The Jacobi stability of this dynamical system is also discussed.