cndcgs Challenges to national defence in contemporary geopolitical situation 2538-8959 2669-2023 LKA 22_CNDCGS_2022_175-185 10.47459/cndcgs.2022.22 Article Peculiarities of Construction and Analysis of a Complex Epidemiological Susceptible-Infected-Removed Model SAMOILENKO Igor isamoil@i.ua ∗ Department of Operation Research, Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Ukraine SALO Nazar isamoil@i.ua Department of Operation Research, Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Ukraine NIKITIN Anatolii anatolii.nikitin@oa.edu.ua Department of Economic-Mathematical Modeling and Information Technologies, Faculty of Economics, The National University of Ostroh, Ukraine ; Department of Mathematics, Faculty of Natural Sciences, Jan Kochanowski University of Kielce, Poland SAMOILENKO Tetiana tsamoil@i.ua Department of mathematical physics and differential equations, Faculty of physics and mathematics, The National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine KRAVETS Oleg oleg.kravets@tsatu.edu.ua Management department, faculty of Economics, Dmytro Motornyi Tavria State Agrotechnological University, Ukraine Corresponding author. 2022 1 175 185 31 10 2022 Creative Commons Attribution International License (CC BY)

This study is focused on the construction and analysis of a complex epidemiological practical model built on the basis of the Susceptible-Infected-Removed (SIR) model. The examples illustrate the behavior of the practical model in various scenarios and also compare this model and a similar model, taking into account migration. The nature of the behavior of the model is determined by parameters such as the rate of spread of infection, the coefficients of recovery, mortality, the intergroup transition and others with different values of influence.

 generalized susceptible-infected-removed (SIR) model epidemiological situation conflict interaction