https://doi.org/10.1140/epjp/s13360-021-01569-8
Regular Article
Pattern formations in nonlinear dynamics of hepatitis B virus
1
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
2
Department Refining and Petrochemistry, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
3
Département des Sciences Physiques, Ecole Normale Supérieure, Université de Maroua, P.O. Box 55, Maroua, Cameroon
4
Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
5
National Advanced School of Engineering of Maroua, Université de Maroua, P.O. Box 46, Maroua, Cameroon
Received:
28
March
2021
Accepted:
15
May
2021
Published online:
27
May
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
