2016/01/05 by Aldo Ledesma–Durán, Aldo Ledesma-Durán, Héctor Juárez-Valencia +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #Subcellular Processes (q-bio.SC) #q-bio.SC
paper · pdf · doi:10.48550/arxiv.1601.00705
arxiv created 2016/01/05 · openalex publication_date 2016/01/05 · arxiv updated 2016/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper studies how patterns derived from a system of reaction-diffusion equations may vary significantly depending upon boundary and initial conditions, as well as in the spatial dependence of the coefficients involved. From an extensive numerical study of the BVAM model, we demonstrate that the geometric pattern of a reaction-diffusion system is not uniquely determined by the value of the parameters in the equation. From this result, we suggest that the variability of patterns among individuals of the same species may have its roots in this sensitivity. Furthermore, this study analyzes briefly how the inclusion of the advection and the space dependency in the parameters of the model influences the forms of a specific pattern. The results of this study are compared to the skin patterns that appear in Pseudoplatystom fishes.