Diagram Representation for the Stochastization of Single-Step Processes

Eferina, Ekaterina G.; Hnatich, M.; Korolkova, Anna V.; Kulyabov, Dmitry S.; Sevastianov, Leonid A.; Velieva, T. R.

doi:10.1007/978-3-319-51917-3_42

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

2018

Publication Types

Select...

Article2

Book1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To describe models, where the intensity of the interaction between components depends on the concentration levels of the components, one can use the schemes of kinetic interactions [1][2][3][4]:…”

Section: Introductionmentioning

confidence: 99%

The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library

et al. 2018

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library

et al. 2018

View full text Add to dashboard Cite

show abstract

The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms

Zaryadov

Korolkova

Kulyabov

et al. 2017

Communications in Computer and Information Science

View full text Add to dashboard Cite

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

Gevorkyan

Demidova

Velieva

et al. 2018

Program Comput Soft

View full text Add to dashboard Cite

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.

show abstract

Diagram Representation for the Stochastization of Single-Step Processes

Cited by 3 publications

References 21 publications

The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library

The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library

The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms

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

Contact Info

Product

Resources

About