Implementation of an analytical-numerical approach to stochastization of one-step processes in the Julia programming language

In this paper, we use the method of stochastization of one-step processes to demonstrate the advantages of a stochastic representation of the system. To achieve this goal, the high-level scientific computing language Julia was chosen. Because the chosen approach is based on the paradigm of analytical-numerical calculations, then its implementation will be performed using auxiliary packages that are domain-specific extensions (DSL): Catalyst.jl and DifferentialEquations.jl. As a result of this work, the method of stochastization of one-step processes was applied to the SIR epidemic model. © 2021 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).