The Impact of the Face Mask on SARS-CoV-2 Disease: Mathematical Modeling with a Case Study

The mathematical modeling of new emerging infectious diseases gaining high attention from the researcher’s around the world. We formulate a mathematical model with the statistical data of coronavirus observed in Saudi Arabia from March 01, 2021 to September 30, 2021, is considered. Particularly, we focus on studying recent infected data in Saudi Arabia and obtaining reasonable fitting to the model by investigating its realistic parameters. We show the model-related results and their dynamic analysis. The stability results for the disease-free and endemic cases are shown. We show when R0<1, then the system at the disease-free case is locally asymptotically stable (LAS). When R0≤1, we show that the model is globally asymptotically stable (GAS) at the disease free case. We study the endemic equilibria and analyze its global dynamics whenever R0>1. We determine that the model gives the forward bifurcation. Moreover, we do data fitting to the model and then perform numerical experiments to justify the theoretical results. The sensitive parameters are used to study the behavior of the model and provide some illustrating results for the possible elimination of infection in the Kingdom of Saudi Arabia.