Pattern formations in nonlinear dynamics of hepatitis B virus
Abstract
We investigate theoretically and numerically a spatiotemporal dynamics of hepatitis B virus (HBV) infection model through pattern formation of a prey-predation, competition and commensalism species. The system is modeled by a reaction diffusion equations with two competing and the third species presents itself both as a predator and a host respectively for the first and second species. We determined the equilibrium points of the model and by making use of the Routh-Hurwitz criteria the analysis of the bifurcation are made which permits us to derive the conditions of existence of the Turing patterns. Numerical results are given in order to illustrate how biological processes affect spatiotemporal pattern formation and rise out the influences of diffusion on the density the concentrations zones through Turing and non-Turing patterns.
- Publication:
-
European Physical Journal Plus
- Pub Date:
- May 2021
- DOI:
- 10.1140/epjp/s13360-021-01569-8
- Bibcode:
- 2021EPJP..136..586M