It is significant that how to improve the property of quantum entanglement dynamics evolution by controlling the happening of entanglement sudden death. Initially entangled atoms interact with Jaynes-Cummings (J-C) model and nonlinear Jaynes-Cummings (N-J-C) model respectively. Using the method of concurrence the effect of nonlinearity and coupling of atom-field in N-J-C model and the effect of detuning were researched. It shows that entanglement sudden death appears in J-C model, however the meaningful result is that entanglement sudden death vanishes in N-J-C model by using the effect of nonlinearity and detuning in a certain condition. In addition, the atoms entanglement degree can reach to the original values.