Computer simulation of the nonhomogeneous zebra pattern formation using a mathematical model with space-dependent parameters

Junxiang Yang and Junseok Kim

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

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.

Keywords: Turing pattern; Lengyel–Epstein model; Nonhomogeneous zebra pattern formation (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923001509
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001509

DOI: 10.1016/j.chaos.2023.113249

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().