TY - JOUR
TI - COVID-19 modelling with square root susceptible-infected interaction
AU - Gul Nadia
AU - Zeb Anwar
AU - Djilali Salih
AU - Ullah Mazz
AU - Eskandari Zohreh
AU - Linitda Thitiporn
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 323
EP - 332
PT - Article
AB - We propose a COVID-19 mathematical model related to functional shape with  square root susceptible-infected interaction. Using the Hurwitz criterion  and then a graph theoretical-method for the construction of a Lyapunov  function, we discuss both local and global stability. The analytical  solution of the system is obtained in a special case. A non-standard finite  difference scheme is then developed with the aim to obtain a proper  discrete-time version of the model. Simulations show a good agreement  between the proposed discretization and the results given by standard  numerical methods.