Abstract
In this study, we present a mathematical model with space-dependent parameters and appropriate boundary conditions which can simulate the realistic nonhomogeneous zebra pattern formation. The proposed model is based on the Lengyel–Epstein (LE) model and the finite difference method is used to solve the governing equation with appropriate boundary and initial conditions on a complex zebra domain. We focus on generating nonhomogeneous pattern of the common plains zebra (E. burchelli), which is geographically widespread species of zebra. Using the space-dependent parameters in the model, we can simulate the zebra pattern formation with various width stripes.
| Original language | English |
|---|---|
| Article number | 113249 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 169 |
| DOIs | |
| Publication status | Published - 2023 Apr |
Bibliographical note
Funding Information:The corresponding author (J.S. Kim) was supported by the Brain Korea 21 FOUR through the National Research Foundation of Korea, South Korea funded by the Ministry of Education of Korea. The authors would like to thank the reviewers for their valuable suggestions and comments to improve the paper.
Publisher Copyright:
© 2023 Elsevier Ltd
Keywords
- Lengyel–Epstein model
- Nonhomogeneous zebra pattern formation
- Turing pattern
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Mathematics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics