Applications of sir model and dynamical analysis of sir model of chickenpox

Abstract

Chickenpox, caused by the varicella-zoster virus remains a significant infectious disease affecting populations worldwide. The SIR (Susceptible-Infectious-Recovered) model serves as a foundational tool in epidemiology that facilitates the analysis of disease transmission dynamics and the evaluation of control measures. This article presents the applications of the SIR model in understanding chickenpox epidemiology, considering its role in predicting disease spread, optimizing vaccination strategies, and informing public health policies. Sensitivity analysis revealed critical parameters such as contact rate and recovery rate, illustrating their impact on disease transmission. Visual representations from simulation results revealed the effectiveness of interventions in reducing susceptibility and lowering infection rate over time, thereby supporting the feasibility of chickenpox eradication through comprehensive control measure and public interventions.