A non-linear discrete-time dynamical system related to epidemic SISI model

TL;DR

This paper analyzes a discrete-time SISI epidemic model with individuals potentially infected twice, using quadratic stochastic operators to study its nonlinear dynamics under constant population assumptions.

Contribution

It introduces a novel discrete-time SISI model with a quadratic stochastic operator framework, capturing reinfection dynamics in epidemic modeling.

Findings

Model captures reinfection in epidemic spread

Analysis of nonlinear dynamics via quadratic stochastic operators

Provides insights into long-term behavior of the epidemic system

Abstract

We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume that the population size under consideration is constant, so death rate is the same with birth rate per unit time. Reducing to quadratic stochastic operator (QSO) we study the dynamical system of the SISI model.