On the Interplay of Geometrical Shapes and the Analysis of a Dispersal Model for Pattern Formations
Zakir Hossine, Md. Kamrujjaman
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 14 Dec 2019
10.9734/jamcs/2019/v34i430219Abstract
A reaction-diffusion model is put forward which is capable of generating chemical maps whose concentration contours are similar to the patterns seen on the flanks of zebras, leopards and other mammals. Initially, this type of reaction diffusion kinetics model was introduced by Turing and later Murray applied it to animal coat patterns. Among many chemical reaction mechanism, we consider Schnackenberg reaction mechanism in details and show that the geometry and scale of the domain, the relevant part of the integument, during the time of laying down plays a crucial role in the structural patterns which result. Patterns which exhibit a limited randomness are obtained for a selection of geometries. Finally the system was solved numerically using finite difference method.
Cited by 2
Zakir Hossine, Oishi Khanam, Md. Mashih Ibn Yasin Adan, Md. Kamrujjaman · Annual Research & Review in Biology · 2021
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
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