Chemical vapor deposition is widely used for growing semiconductors. In it the best growing conditions are obtained on an empirical way. Its theoretical models are sophisticated and not accurate enough to correctly explain the experimental results. In this work, we present a general model to explain the epitaxial growth kinetics of III-V semiconductor materials by chemical vapor deposition. The model is based on a reversible chemical reaction between the transporting gas and the III element at the source and the same reaction, at the substrate surface. However, the model considers that the III element might have a different chemical activity at each one of those surfaces. The model explains experimental results reported in the literature on III-V materials, by several laboratories, over decades.