Response of vaccination on community transmission of COVID-19: a dynamical approachMoirangthem Bidyaluxmi Devi, Arpita Devi, Praveen Kumar Gupta and Dharmendra TripathiEur. Phys. J. Spec. Top., 231 18-20 (2022) 3749-3765DOI: https://doi.org/10.1140/epjs/s11734-022-00652-0