Digital simulation of disorders in the p53 and Mdm2 protein system, involved in repair of DNA defects and in many vital processes, including tumor formation, neurodegeneration, and aging, was carried out on the base of functional nonlinear octoparametric mathematical model. Stress situations were studied, associated with emergence of imbalance in p53 and Mdm2 generation and degradation rates and with disorders in the mechanism of protein interactions, regulated within the framework of the suggested model via dissociation constants. Variants of the analyzed disorders compensation by repeated stress for the system parameters were studied numerically.