  This article looks at the relationship between the discrete and the
continuous Redner-Ben-Avraham-Kahng (RBK) coagulation models. On the basis of a
priori estimation, a weak stability principle and the weak compactness in $L_1$
for the continuous RBK model is shown. By employing a sequence of discrete
models to approximate the continuous one, we show that how discrete model
eventually converges to the the modified continuous one using the stability
principle.
