The SIRI stochastic model with creation and annihilation operators

TL;DR

This paper introduces a quantum-inspired stochastic model for the SIRI epidemic, extending traditional models by incorporating creation and annihilation operators derived from Gell-Mann matrices to better represent reinfection dynamics.

Contribution

It generalizes the SIS model to include recovered individuals and reinfection using ladder operators from quantum chromodynamics, offering a novel mathematical framework.

Findings

Provides a new operator-based formulation for the SIRI model

Enables analysis of reinfection dynamics with quantum-inspired tools

Extends existing epidemic models with advanced mathematical structures

Abstract

We generalize the well known formulation of the susceptibles, infected, susceptibles (SIS) spatial epidemics with creation and annihilation operators to the reinfection model including recovered which can be reinfected, the SIRI model, using ladder operators constructed from the Gell-Mann matrices known in quantum chromodynamics.