PSI - Issue 65

ScienceDirect Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2024) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2024) 000–000 Available online at www.sciencedirect.com

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 65 (2024) 75–82

The 17th International Conference on MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS 2023) Mathematical Monitoring of the Human Criminal Behavior System Dumanskaya E.I. b,c,d , Emelyanov I.G. a,b,с * a Institute of Engineering Science, Ural Branch of the Russian Academy of Sciences, 34 Komsomolskaya St, Yekaterinburg, 620046, Russian Federation b Ural State University of Railway Transport, 66, Kolmogorova St., Yekaterinburg 620034, Russian Federation c Ural Federal University, 19 Mira St., Yekaterinburg, ,620002, Russian Federation d Ural State Law University, 21 Komsomolskaya St., Yekaterinburg,620046, Russian Federation The article is devoted to mathematical monitoring of the risk assessment of committing crimes This mathematical model based on the criminal case and describing personality dangerousness of criminal is used. It is an attempt to solve an problem by numerical methods – to made the model of individual criminal behavior. This makes it possible to prevent recidivism of persons sentenced to probation. © 2024 The Authors, Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers Keywords: mathematical monitoring, human criminal behavior system, integral equation, risk assessment The 17th International Conference on MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS 2023) Mathematical Monitoring of the Human Criminal Behavior System Dumanskaya E.I. b,c,d , Emelyanov I.G. a,b,с * a Institute of Engineering Science, Ural Branch of the Russian Academy of Sciences, 34 Komsomolskaya St, Yekaterinburg, 620046, Russian Federation b Ural State University of Railway Transport, 66, Kolmogorova St., Yekaterinburg 620034, Russian Federation c Ural Federal University, 19 Mira St., Yekaterinburg, ,620002, Russian Federation d Ural State Law University, 21 Komsomolskaya St., Yekaterinburg,620046, Russian Federation Abstract The article is devoted to mathematical monitoring of the risk assessment of committing crimes This mathematical model based on the criminal case and describing personality dangerousness of criminal is used. It is an attempt to solve an problem by numerical methods – to made the model of individual criminal behavior. This makes it possible to prevent recidivism of persons sentenced to probation. © 2024 The Authors, Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers Keywords: mathematical monitoring, human criminal behavior system, integral equation, risk assessment A person's life, mathematically speaking, can be considered as a definite integral, formed by the sum of many variables, one of which is time t. For example, the integral can be represented as a multiparameter energy function that changes under the positive and negative influence during life. At modern state of science it is difficult to calculate in a general form an individual energy function of a personality. However, some of the components for studying personality mathematically or quantitatively, can be determined. The article provides a mathematical model of criminal behavior based on an integral equation. © 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers Abstract 1. Introduction. 1. Introduction. A person's life, mathematically speaking, can be considered as a definite integral, formed by the sum of many variables, one of which is time t. For example, the integral can be represented as a multiparameter energy function that changes under the positive and negative influence during life. At modern state of science it is difficult to calculate in a general form an individual energy function of a personality. However, some of the components for studying personality mathematically or quantitatively, can be determined. The article provides a mathematical model of criminal behavior based on an integral equation.

* Corresponding author. Tel.: +7-922-207-3447 E-mail address: emelyanov.ig.2016@mail.ru * Corresponding author. Tel.: +7-922-207-3447 E-mail address: emelyanov.ig.2016@mail.ru

2452-3216© 2024 The Authors, Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers 2452-3216© 2024 The Authors, Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of MRDMS 2023 organizers 10.1016/j.prostr.2024.11.012