Mathematical modeling and symmetry analysis of the impact of vaccination on the dynamics of influenza virus diseaseAli Raza, Ibtehal Alazman, Syed T. R. Rizvi, Kashif Ali, Baba Seidu, Fahad T. Alotaibi and Aly R. SeadawyEur. Phys. J. Plus, 140 11 (2025) 1150DOI: https://doi.org/10.1140/epjp/s13360-025-07092-4