Programming and Computer Software

, Volume 44, Issue 2, pp 86–93 | Cite as

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

  • M. N. Gevorkyan
  • A. V. Demidova
  • T. R. Velieva
  • A. V. Korol’kova
  • D. S. Kulyabov
  • L. A. Sevast’yanov
Article
  • 9 Downloads

Abstract

When modeling such phenomena as population dynamics, controllable flows, 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 first principles by stochastization of one-step processes. Research can be represented as an iterative process that consists in obtaining a model and its further refinement. 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 differential equations and their interaction schemes. The operation of the program is demonstrated on the Verhulst and Lotka–Volterra models.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • M. N. Gevorkyan
    • 1
  • A. V. Demidova
    • 1
  • T. R. Velieva
    • 1
  • A. V. Korol’kova
    • 1
  • D. S. Kulyabov
    • 1
    • 2
  • L. A. Sevast’yanov
    • 1
    • 3
  1. 1.Department of Applied Probability and InformaticsPeoples’ Friendship University of Russia (RUDN)MoscowRussia
  2. 2.Laboratory of Information TechnologiesJoint Institute for Nuclear ResearchDubna, Moscow oblastRussia
  3. 3.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia

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