Phase transitions in some epidemic models defined on small-world networks

TL;DR

This paper investigates phase transitions in modified SIRS epidemic models on small-world networks, exploring how factors like latency and inhomogeneity influence epidemic thresholds and regions.

Contribution

It introduces modified SIRS models with latency, incubation, and susceptibility variations on small-world networks, analyzing their phase transition behaviors and effects on epidemic regions.

Findings

Inclusion of latency and susceptibility expands epidemic regions.

Inhomogeneous models show altered phase transition points.

Small-world networks influence epidemic thresholds.

Abstract

Some modified versions of susceptible-infected-recovered-susceptible (SIRS) model are defined on small-world networks. Latency, incubation and variable susceptibility are included, separately. Phase transitions in these models are studied. Then inhomogeneous models are introduced. In some cases, the application of the models to small-world networks is shown to increase the epidemic region.