A new convergent, nonperturbative parton (straton) dual-resonance model for deep-inelastic $\mathrm{eN}$ and high-energy $e^{+}{e}^{-}$ production processes is proposed. The model incorporates the parton's final-state interaction effects and resolves the puzzle why the parton is not observed experimentally. It does not require a "cutoff" of any sort, and automatically furnishes explicit formulas for the structure functions $\nu W_2$ and $W_1$ over the whole range of the scaling variable $\omega$ between 0 and $\infty$. The explicit formula for $\nu W_2$, apart from a nonscaling factor of ${\ln }^{-1\mathrm{}}\left|q^2\right|$, correctly reproduces the Regge limit ($\omega \to \infty$), the "fixed-angle" limits ($\omega \to 1\pm \epsilon , \epsilon \mathrm{finite}$), and the threshold behaviors ($\omega \to 1^{\pm }$) in connection with the asymptotic nucleon form factors. For the $e^{+}{e}^{-}$ annihilation process, it further predicts the pionization (nucleonization) limit as $\omega \to 0$. We also suggest that the final-state interaction is of the diffractive type (Pomeranchukon exchange); and it breaks the scaling law by the factor ${(a+b\ln |q^2\mathrm{}\left|\right)\mathrm{}}^{-1\mathrm{}}$.

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