An innovated SIRS model for information spreading

Abstract

Epidemic models do a great job in spreading information over a network, among which the SIR model stands out due to its practical applicability, with three different compartments. When considering the real-world scenarios, these three compartments have a great deal of application in spreading information over a network. Even though SIR is a realistic model, it has its own limitations. For example, the maximum reach of this model is limited. A solution to this is to introduce the SIRS model where the nodes in the recovered (removed) state will gradually slip into the susceptible state, based on the immunity loss, which is a constant. This presents the problem because in the real-world scenario, this immunity loss rate is a dependent parameter so a constant won’t do justice. So to cope with the real-world problem, this paper presents a variable called immunity coefficient, which is dependent on the state of the neighbors.