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arXiv · 1805.03190

Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System

D. S. Kulyabov·M. N. Gevorkyan·A. V. Demidova·T. R. Velieva·A. V. Korolkova·L. A. Sevastianov
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Abstract

When modeling such phenomena as population dynamics, controllable ows, etc., a problem arises of adapting the existing models to a phenomenon under study. For this purpose, we propose to derive new models from the rst principles by stochastization of one-step processes. Research can be represented as an iterative process that consists in obtaining a model and its further re nement. The number of such iterations can be extremely large. This work is aimed at software implementation (by means of computer algebra) of a method for stochastization of one-step processes. As a basis of the software implementation, we use the SymPy computer algebra system. Based on a developed algorithm, we derive stochastic di erential equations and their interaction schemes. The operation of the program is demonstrated on the Verhulst and Lotka-Volterra models.

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BibTeXRIS

D. S. Kulyabov, M. N. Gevorkyan, A. V. Demidova, T. R. Velieva, A. V. Korolkova, L. A. Sevastianov. 2018-05-08. Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System. https://doi.org/10.1134/s0361768818020044

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