The main goal of this work is to describe and compare different models of random 
growth in the d-dimensional lattices. We introduce a new model of random growth and see 
what relations it has with already known models. Another important question is 
what are the the relations between the different parameters we introduce. Our 
goal is to describe a phase diagram. In particular, we study which parameters 
yield a positive probability for survival of the model. We provide a table for 
the relation between different models and their parameters. We find a condition 
for the survival of the new model of growth