Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations
Control of unsafe behaviors has always been a difficult point in Coal Mine Safety Management (CMSM). To study the regular pattern of behavior propagations in CMSM, a series of evolutionary dynamical system models are established by the delay and impulsive differential equations (DIDEs). The threshol...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6210465 |
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| author | Li Bai Xinhua Wang Rongwu Lu Hao Yu Dan Li |
| author_facet | Li Bai Xinhua Wang Rongwu Lu Hao Yu Dan Li |
| author_sort | Li Bai |
| collection | DOAJ |
| description | Control of unsafe behaviors has always been a difficult point in Coal Mine Safety Management (CMSM). To study the regular pattern of behavior propagations in CMSM, a series of evolutionary dynamical system models are established by the delay and impulsive differential equations (DIDEs). The threshold constraints (TCs) and impulse responses in the models can accurately correspond to the actual inspection and supervision measures in safety management. Through the simulation analysis and comparison of the system stability, it can be concluded that some proper settings of the TCs and impulse responses bring satisfactory evolutionary stability. Based on the main results of this study, we put forward some decision-making suggestions on the control points and control strategies of unsafe behaviors in safety management. |
| format | Article |
| id | doaj-art-fc38fb3c7a01462e95886b1c156f8e13 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fc38fb3c7a01462e95886b1c156f8e132025-02-03T05:59:35ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/62104656210465Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential EquationsLi Bai0Xinhua Wang1Rongwu Lu2Hao Yu3Dan Li4College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, ChinaControl of unsafe behaviors has always been a difficult point in Coal Mine Safety Management (CMSM). To study the regular pattern of behavior propagations in CMSM, a series of evolutionary dynamical system models are established by the delay and impulsive differential equations (DIDEs). The threshold constraints (TCs) and impulse responses in the models can accurately correspond to the actual inspection and supervision measures in safety management. Through the simulation analysis and comparison of the system stability, it can be concluded that some proper settings of the TCs and impulse responses bring satisfactory evolutionary stability. Based on the main results of this study, we put forward some decision-making suggestions on the control points and control strategies of unsafe behaviors in safety management.http://dx.doi.org/10.1155/2020/6210465 |
| spellingShingle | Li Bai Xinhua Wang Rongwu Lu Hao Yu Dan Li Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations Complexity |
| title | Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations |
| title_full | Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations |
| title_fullStr | Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations |
| title_full_unstemmed | Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations |
| title_short | Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations |
| title_sort | evolutionary stability analysis of the coal mine safety management system governed by delay and impulsive differential equations |
| url | http://dx.doi.org/10.1155/2020/6210465 |
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