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

2021-04-01·
Arseny Vitalievich Fedorov
,
Anna Olegovna Masolova
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
· 0 min read
Abstract
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.
Type
Publication
Workshop on information technology and scientific computing in the framework of the XI International Conference Information and Telecommunication Technologies and Mathematical Modeling of High-Tech Systems (ITTMM-2021)