Shah HussainElissa Nadia MadiHasib KhanSina EtemadShahram RezapourThanin SitthiwiratthamNichaphat Patanarapeelert2025-03-102025-03-102021Mathematics2227739010.3390/math92331222-s2.0-85120981956https://repository.dusit.ac.th//handle/123456789/4714In this article, we propose a novel mathematical model for the spread of COVID-19 involving environmental white noise. The new stochastic model was studied for the existence and persistence of the disease, as well as the extinction of the disease. We noticed that the existence and extinction of the disease are dependent on R0 (the reproduction number). Then, a numerical scheme was developed for the computational analysis of the model; with the existing values of the parameters in the literature, we obtained the related simulations, which gave us more realistic numerical data for the future prediction. The mentioned stochastic model was analyzed for different values of s1, s2 and b1, b2, and both the stochastic and the deterministic models were compared for the future prediction of the spread of COVID-19. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessCOVID-19ExistenceNumerical schemePersistenceStochastic modelArticleScopus