Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
| Autor: | Kulyabov, D. S., Gevorkyan, M. N., Demidova, A. V., Velieva, T. R., Korolkova, A. V., Sevastianov, L. A. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1134/S0361768818020044 |
| Popis: | 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. Comment: in English; in Russian |
| Databáze: | arXiv |
| Externí odkaz: |
|