Delving a stochastic SEQAIJR COVID-19 model with hexa delayed and copious control strategies.

• The stochastic SEQAIJR delayed model with quarantined, isolation and vaccination strategies is created to control COVID-19. • A persistence of the disease for the model is presented. • For controlling the rapid spread of the disease, optimal control strategy is constructed with three control measures. • Parameter estimation are presented with real data and model simulation. The actual ideal of the literature is to probe the effect of external undulation on prevalence of COVID-19. Owing to some environmental influences, we enhanced our model to the stochastic perturbations. In this article, we scrutinize a stochastic epidemic COVID-19 model with seven states of epidemiological classification. Incipiently, a sophisticated biological system with the effect of time lags put forward copious strategies. At the outset, aim of this work is to explore the existence and uniqueness of global positive solution. Moment exponential stability are upheld. By fabricating a suitable lyapunov function, the sufficient conditions for the persistence of the disease and the existence of an ergodic stationary distribution are established. To regulate the widespread of COVID-19 infection, the main intent is to curb the disease with the succor of three control measures. Finally, the theoretical results bring into being alive in the form of graphical visualization. By nurturing the comparison study, the parameters of the model system come up with real data of most afflicted countries that layout premier consequences. [ABSTRACT FROM AUTHOR]