Equation

Horizontal asymptote

Vertical asymptote

(10)

${\sigma }_M={\sigma }_{M0}$

$N=N_0\exp \left(\frac{{\delta }_{1}R}{1-R}\right)$

(12)

$\Delta \sigma ={\sigma }_{M0}\left(1-R\right)$

$N=N_0\exp \left(\frac{{\delta }_{1}R}{1-R}\right)$

(13)

$\Delta \sigma =0$

$N=N_0\exp \left(\frac{{\beta }_1}{\frac{{\sigma }_M}{{\sigma }_{M0}}-1}-{\delta }_1\right)$