Confronting dual models of the strong interaction

Studies of the mathematical properties Regge-pole and dual amplitudes are important both for their applications in high energy phenomenology generalizations to strings, superstrings, branes, other theoretical developments. In present paper, we investigate similarities differences between two classes amplitudes: one with Mandelstam analyticity (DAMA) another logarithmic trajectories (Dual-log). By using quantum (q-) deformations, new features Dual-log amplitude unveiled, particular those concerning its asymptotic behavior spectrum resonances. The compared various kinematic regions: at fixed transferred momenta asymptotic, angle resonance region.