Analysis of a network--based SIR model

TL;DR

This paper analyzes a network-based deterministic SIR model, examining equilibrium stability and the basic reproductive number's sensitivity, with implications for disease control and urban planning.

Contribution

It provides a novel analysis of the basic reproductive number's sensitivity in a network SIR model, linking epidemiological dynamics to urban network structure.

Findings

Equilibria stability conditions identified

Sensitivity of basic reproductive number analyzed

Implications for disease control in urban networks

Abstract

This study focuses on analyzing a deterministic SIR model governing the dynamics of the hosts and vectors on an urban network. Our analysis scrutinizes the typical existence--stability of the equilibria as well as the sensitivity of the basic reproductive number. The latter is a groundbreaking finding that has a strong applicative relevance, particularly for addressing the problem of the distribution of job opportunities toward diminishing the disease persistence on the entire network.