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

초록

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.

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