The atoms are driven by classical field introduced in the cavity quantum electro-dynamic model. By setting the relationship between frequency detuning of atom-cavity field and classical field driven strength, the transformation from the effectively Jaynes-Cummings model to the anti-Jaynes-Cummings model is achieved. The dynamic process of the whole system can be controlled. The entanglement dynamic behaviors of three-atom Greenberger-Horne-Zeilinger (GHZ)-type and W-type entanglement states in different effective atom-cavity field interaction models are discussed. The results show that the three-atom entanglement state in dynamic process can change from entanglement-sudden-death to no-entanglement-sudden-death with the assisting of classical field, so the phenomenon of entanglement-sudden-death can be inhibited. The entanglement robustness of the three-atom GHZ-type and W-type entanglement states in dissipative cavity is explored in the evolutionary process. The effective atom-cavity interaction model of the three-atom GHZ-type and W-type entanglement states are obtained in dynamic process in which the strongest robustness can be acquired.