  Supported by the use of a regular scalar field we find a black hole solution
in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover
the Schwarzschild black hole as in other works. Later, by implementing the odd
parity perturbations method we study the stability of the linearized equations
of motion of the model, we find the explicit form of the Regge-Wheeler
potential and we explore the condition of vanishing perturbations at the
horizon of the black hole. We test the stability of the obtained solution by
checking the positivity condition of the Regge-Wheeler potential. Finally, we
show that the stability of model depends on the value of a parameter introduced
in the profile for the scalar field.
