Mean square Hyers-Ulam stability for a system of stochastic differential equations

This paper presents the results of a study of the stochastic differential equation stability used in the model of accumulation of gene mutations during the evolution of organisms. In the course of numerical implementation, the need was revealed to obtain a criterion that the parameters of the problem must be in order for the solution to remain within the boundaries determined by the physical meaning. To solve this problem, a study of the stochastic equation for stability according to Hyers-Ulam was carried out. The resulting criterion corresponds well with the numerical experiment.