Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
29 January 2020 |
13 February 2020 |
10 March 2020 |
Abstract: In this work, we propose a numerical scheme for delayed partial differential equations that describe the dynamics of hepatitis B virus (HBV) infection with multi delays and capsids. We first show that the proposed numerical scheme preserves the positivity and boundedness of solutions in order to ensure the well posedne ss of the problem. By constructing suitab le discrete Lyapuno v functionals, we prove that the numerical scheme also preserves the global stability of equilibria of the corresponding continuous model with no restriction on the space and time step sizes. Furt hermore, the discrete models and the res ults existing in many previous s tudies are improved and generalized.
