The impact of levy 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 Levy 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 Levy jumps. Furthermore, we give a detailed numerical comparison of disease for the stochastic and deterministic systems.