Open AccessSpatio-temporal Brusselator Model and Biological Pattern Formation
Author(s) -
Zakir Hossine,
Oishi Khanam,
Md. Mashih Ibn Yasin Adan,
Md. Kamrujjaman
Publication year - 2021
Publication title -
annual research and review in biology
Language(s) - English
Resource type - Journals
ISSN - 2347-565X
DOI - 10.9734/arrb/2021/v36i530380
Subject(s) - brusselator , pattern formation , spatiotemporal pattern , diffusion , reaction–diffusion system , statistical physics , homogeneous , excitable medium , boundary (topology) , biological system , mathematics , mechanics , physics , mathematical analysis , thermodynamics , biology , nonlinear system , genetics , quantum mechanics
This paper explores a two-species non-homogeneous reaction-diffusion model for the study of pattern formation with the Brusselator model. We scrutinize the pattern formation with initial conditions and Neumann boundary conditions in a spatially heterogeneous environment. In the whole investigation, we assume the case for random diffusion strategy. The dynamics of model behaviors show that the nature of pattern formation with varying parameters and initial conditions thoroughly. The model also studies in the absence of diffusion terms. The theoretical and numerical observations explain pattern formation using the reaction-diffusion model in both one and two dimensions.