Investigating the ARSIRI Model: An Extended SIR Model with Reinfection for Modelling Addiction-Related Phenomena
Year: 2025
Type: article
Abstract: This paper investigates the ARSIRI model, a modified SIR model that considers the possibility of reinfection from the recovered compartment to the infected compartment. This modification is motivated by representing an addiction-related phenomenon in which recovered individuals can become reinfected. The paper examines disease-free and endemic equilibrium points. The stability conditions of the equilibrium points are investigated using a reproductive number that cannot be computed using the regular next-generation matrix. The most important parameter in the model, namely the reinfection rate, is then analyzed from a bifurcation point of view. Finally, the ARSIRI model is applied to simulated data as well as real data related to alcohol addiction, demonstrating its superiority over the regular SIR model.
Author: N. Susyanto
Institution: Universitas Gadjah Mada
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: bronze
OpenAlex ID: W4408805513