Numerical study for epidemic model of hepatitis-B virus Tahira Sumbal Shaikh, Nimra Fayyaz, Nauman Ahmed, Naveed Shahid, Muhammad Rafiq, Ilyas Khan and Kottakkaran Sooppy Nisar Eur. Phys. J. Plus, 136 4 (2021) 367 Published online: 07 April 2021 DOI: 10.1140/epjp/s13360-021-01248-8