Geometrization of Some Epidemic Models

TL;DR

This paper explores the geometric interpretation of epidemic models by analyzing path equations and deviation vectors within Riemannian and Finslerian geometries, revealing new insights into their structural behavior.

Contribution

It introduces a geometric framework for epidemic models, comparing their path equations and deviation vectors in different geometric settings for the first time.

Findings

Path equations of epidemic models are examined in Riemannian and Finslerian geometries.

Deviation vectors provide insights into the stability and behavior of epidemic models.

Geometric perspectives can enhance understanding of epidemic dynamics.

Abstract

Recently, the behavior of different epidemic models and their relation both to different types of geometries and to some biological models has been revisited . Path equations representing the behavior of epidemic models and their corresponding deviation vectors are examined. A comparison between paths and their deviation vectors in Riemannian and Finslerian Geometries is presented.