Stochastic Analysis of an Epidemic SVIR Model With Holling Type II Incidence and Treatment Rates

Abstract

In the event of an epidemic, inhibitory effects play a critical role in limiting the pandemic's influence on society. The majority of infectious diseases that affect humans are still on the verge of becoming epidemics over the world. Mathematical models have long been used to investigate the complicated dynamics of infectious illnesses. This research investigates a stochastic SVIR epidemic model with Holling type II incidence and treatment rates. The Fourier transform approach is used to analyse stochastic stability around an internal steady state. Finally, numerical simulations are presented with appropriate parameter selections in order to test the efficiency of the theoretical results.