Analytic soulution and illustration of elastic energy releasing amount of rock dynamic destabilization is given for the first time by the step of Ⅱ body in the form of precise and approximate catastrophe model. It is advanced from qualitative understand to quantitative description that study on rock stability on the stage before and after the period of earthquake and rockburst. The end of rock dynamic destabilization is confirmed strictly

and scientific basis is offered for the calculation on earthquake efficiency

for the study on earthquake energy scale released

earthquake stress fall

fault offset after earthquake and recovery amount of surrounding rock elastic strain. The system will possess ability to apply work to surroundings when it destabilizes

and earthquake wave energy is the matter that destabilizing rock system applies work to surroundings in the devastating way. Information implicated in illustration of elastic energy releasing in paper

produces credible evidence for confirming that the mathematical model of rock dynamic destabilization is fold catastrophe model.