Numerical method for a SARS-CoV-2 infection model with two modes of transmission and immune response |
Zakaria Hajhouji, Majda El Younoussi, Khalid Hattaf, Noura Yousfi
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
January 31, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In this work, we propose a numerical method for new within-host model which describes the interactions between severe acute respiratory syndrome coronavirus (SARS-CoV-2), host pulmonary epithelial cells and cytotoxic T lymphocyte (CTL) cells. We first prove that the proposed numerical method preserves the positivity and boundedness of solutions in order to ensure the well-posedness of the problem. By constructing appropriate discrete Lyapunov functionals, we show that the proposed method also preserves the global stability of equilibria of the corresponding continuous system with no ...