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JOURNALS // Taurida Journal of Computer Science Theory and Mathematics // Archive

Taurida Journal of Computer Science Theory and Mathematics, 2022 Issue 3, Pages 69–79 (Mi tvim151)

Distributed systems in a dynamic modeling environment

E. A. Lukyanova, M. S. Prochitanskiy, M. E. Lukyanova

V. I. Vernadsky Crimean Federal University, Simferopol

Abstract: This work is devoted to the consideration of modeling and research on the processes of the course of infectious diseases. The infectious process is one of the complex biological processes in nature, representing a serious danger to humanity and economic. A common method for modeling a system of this type is to represent evolution of the system under study using a system of ordinary differential equations (ODEs), namely, the construction of analytical models - the SIR-model and its extensions. These models are widely used for modeling the process of the course of infectious diseases, since they allow to consider various aspects of the disease: the path of infection, the spatial distribution of the infection, the influence of geographical factors, and others. Also, these models allow you to implement various disease control strategies and quickly adapt the model to new requirements. Today, in connection with large-scale threats of epidemic spread, it is relevant to build adequate predictive models and use modern effective software for the implementation, simulation and research of models of such systems. In this regard, new software "Environment for Dynamic Modeling of Technical Systems SimInTech" is using to solve the problem of constructing, calculating and studying the expansion of the SIR-model by the example of modeling the patterns of the course of an infectious disease - Ebola virus fever. Being an alternative to foreign analogues, such as Simulink, Sсilab and others, software SimInTech allows you to simulate, calculate, research and synthesize various technical devices, including automation equipment and systems. Despite the fact that SimInTech is intended for modeling and calculation of technical systems and devices, while working with this software, SimInTech capabilities were discovered for modeling the process of the course of infectious diseases. It turned out that the simulation of such systems in SimInTech is possible thanks to the built-in programming language. To do this, using the tools of the built-in programming language SimInTech, the necessary user blocks were created and described, from which the model of the process of Ebola virus fever was formed. In the process of building the model, it was revealed that when forming the SIR-type models the problem of an "algebraic loop" arises - the inputs of the blocks implicitly depend on their outputs. It is proposed to solve this problem by means of SimInTech by introducing an additional block "Delay on the integration step" into the model structure. A calculation model for the SIRDP-model of the spread of Ebola virus fever is constructed in the work and its simulation is performed.

Keywords: modeling environment, Ebola Virus Disease, EVD, disturbed systems, ordinary differential equations, SIR-model and elaborations.

UDC: 519.673

MSC: 68M14, 68U20



© Steklov Math. Inst. of RAS, 2024