Ribosomal genes (RG), or genes for rRNA, are represented by multiple tandem repeats in eukaryotic genomes, and just a part of them is transcriptionally active. The quantity of active copies is a stable genome feature which determines the cell's capability for rapid synthesis of proteins, necessary to cope with stress conditions. Low number of active RG copies leads to reduced stress resistance and elevated risk of multifactorial disorders (MFD). Oxidative stress (OS) in the brain cells is believed to be involved in the pathogenesis of infantile autism (IA) and schizophrenia, i.e., MFDs with a manifested genetic predisposition. With autism, OS markers are found almost in every research, whilst with schizophrenia, the OS data are contradictory. Earlier, in a sample of patients with schizophrenia, we have found significantly higher quantity of active RG copies than at the average in healthy population. Here we have estimated the number of active RG copies in a sample of patients with IA (n = 51) and revealed significantly lower mean value than in healthy population. A novel mathematical model of the dynamic pattern of OS has been proposed. The model is realized as an ordinary differential equation system, supposing induction of antioxidant protection enzymes being mediated by reactive oxygen species (ROS), with the subsequent decrease of ROS content in a cell. The rate of synthesis of antioxidant protection enzymes is limited by the ribosome synthesis rate which depends on the number of active RG copies. Analysis of the model showed that the system always approaches a single stable equilibrium point along a damped oscillation trajectory, which in some degree resembles the dynamics of 'predator-prey' interaction in Lotka-Volterra model. The stationary ROS level inversely depends on the number of active RG copies. Our study explains the inconsistency of clinical data of OS in schizophrenia and suggests a novel criterion for discriminative cytogenetic diagnostics of schizophrenia and IA, as well as allows to assume that antioxidant therapy should be effective only for children with low number of active RG copies.