Batik Motifs from Mathematical Model Simulations of the Spread of Pulmonary Tuberculosis with the Use of Medical Masks

Abstract

This study aims to create a mathematical model of the transmission of pulmonary tuberculosis where the transmission is prevented by medical masks. The model formulation is based on a system of differential equations that compartmentalizes the population into five groups, susceptible (S), infected (I), recovered (R), susceptible with medical masks (SM), and infected with medical masks (IM). The analytical steps taken yield a disease-free equilibrium point and an endemic equilibrium point with stability tested using the Jacobian matrix. Finally, as part of the numerical simulation of the model, real parameters of the city of Makassar were used to show that R₀< 1, the disease will die out in the population; but if R₀ > 1 the disease will persist in the population, becoming endemic. As part of the novelty of this study, this model's simulated graphical results were turned into mathematical batik patterned art which tells a story about infection transmission and infection decline. The curves of the population and stability graphs were aesthetically interpreted into a motif that symbolizes these scientific findings to bridge the scientific world with cultured artistic sensibility. Therefore, this study provides scientific benefit to mathematical epidemiology and diversifies where scientific findings can be visualized into a teachable and significant local art piece.