  In this work, we report some results on the numerical exploration of the
model of Guendelman-Nissimov-Pacheva. This model has been previously applied to
cosmology, but there were open questions regarding its parameters. Here we
demonstrate the existence of families of solutions on the slope of the
effective potential which preserve the duration of the inflation and its power.
For this solutions, one can see the previously reported phenomenon of the
inflaton scalar field climbing up the slope, with the effect more pronounced
when starting lower on the potential slope. Finally we compare the dynamical
and the potential slow-roll parameters for the model and we find that the
latter describe the numerically observed inflationary period better.
