,Turing pattern selection in a reaction-diffusion epidemic model

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We present Turing patte selection in a reaction-diffusion epidemic model under zero-flux boundary conditions.The value of this study is twofold.First,it establishes the amplitude equations for the excited modes,which determines the stability of amplitudes towards uniform and inhomogeneous perturbations.Second,it illustrates all five categories of Turing pattes close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex patte replication:o...","We present Turing patte selection in a reaction-diffusion epidemic model under zero-flux boundary conditions.The value of this study is twofold.First,it establishes the amplitude equations for the excited modes,which determines the stability of amplitudes towards uniform and inhomogeneous perturbations.Second,it illustrates all five categories of Turing pattes close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex patte replication:on increasing the control parameter v,the sequence "H0 hexagons →H0-hexagon-stripe mixtures → stripes → Hπ-hexagon-stripe mixtures → Hπ hexagons" is observed.This may enrich the patte dynamics in a diffusive epidemic model.
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