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Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
- Publication Year :
- 2018
-
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.<br />Comment: in English; in Russian
- Subjects :
- Computer Science - Symbolic Computation
Mathematical Physics
Subjects
Details
- Language :
- English
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1805.03190
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1134/S0361768818020044