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Complex Pattern Formations by Spatial Varying Parameters

Complex Pattern Formations by Spatial Varying Parameters

Pattern formations by Gierer-Meinhardt (GM) activator-inhibitor model are considered in this paper.By linear analysis, critical value of bifurcation parameter can be evaluated to ensure Turing instability.Numerical simulations are tested by using second order semi-implicit backward difference methods for time discretization and the meshless Kansa method for spatially discretization.We numerically show …