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We consider the initial value problem (IVP) associated to a fifth orderKdV-BBM type model that describes the propagation of unidirectional waterwaves. We prove that the regularity in the initial data propagates in thesolution, in other words no singularities can appear or disappear in thesolution to this model. We also prove the local well-posedness of the IVP inthe space of the analytic functions, the so called Gevrey class. Furthermore,we discuss the evolution of radius of analyticity in such class by providingexplicit formulas for upper and lower bounds.

On propagation of regularities and evolution of radius of analyticity in the solution of the fifth order KdV-BBM model