THE IMPACT OF LÉVY JUMPS AND WHITE NOISE ON THE DYNAMICS OF A COVID-19 EPIDEMIC MODEL: A CASE STUDY OF THE KINGDOM OF SAUDI ARABIA

ABSTRACT

Recently, the pandemic of Covid-19 attacked many countries, and many public establishments were closed because of this pandemic. As well, the Covid-19 pandemic hurt the economy and various activities of countries around the world. Mathematical Modeling and numerical analysis can help governments to find solutions for controlling the propagation of the Covid-19 pandemic. In the present paper, we consider a stochastic Lévy jumps epidemic model that models the propagation of Covid-19 in a population divided into six groups of individuals. We investigate the extinction and persistence of our stochastic systems with and without Lévy jumps. Furthermore, we give a detailed numerical comparison of disease for the stochastic and deterministic systems. © 2022 the author(s).