Dynamics of a stochastic COVID-19 epidemic model with jump-diffusion

Abstract For a stochastic COVID-19 model with jump-diffusion, we prove the existence and uniqueness of global positive solution. We also investigate some conditions for extinction persistence disease. calculate threshold epidemic system which determines or permanence disease at different intensities noises. This is denoted by ? depends on white jump The effects these noises dynamics are studied. numerical experiments show that random perturbation introduced in suppresses outbreak as compared to its deterministic counterpart. In other words, impact high. When noise large small, our findings vanishes from population if $\xi <1$ ? < 1 ; whereas cannot go out control >1$ > . From this, observe have significant effect spread infection, i.e., can conclude more realistic than one. Finally, illustrate this phenomenon, put simulations.