In some practical systems a very short, rapid changing stage appears inside
a relatively very long and slowly changing process. Such a system may be c
alled quasi-discontinuous system. In order to qualify it, we quantitatively
give the definitions of quasi-discontinuity and quasidiscontinuous region.
By a simplified model, we have shown that the scaling law of the averaged
laminar length of the intermittency in such systems can be an intermediate
one between that of type I and type V. This phenomenon has been observed in
Hindmarsh-Rose model describing neuronal activities.