Spatio-temporal Brusselator Model and Biological Pattern Formation
Zakir Hossine, Oishi Khanam, Md. Mashih Ibn Yasin Adan, Md. Kamrujjaman
Annual Research & Review in Biology · pp. 88–99 · Published 8 Jun 2021
10.9734/arrb/2021/v36i530380Abstract
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.
Cited by 1
Yujian Jiao, Shuaifei Hu, Xiaoxuan Qi · Applied Numerical Mathematics · 2026
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