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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Bibliographic Details
Published inComplexity (New York, N.Y.) Vol. 2020; no. 2020; pp. 1 - 12
Main Authors Yu, Hao, Lu, Rongwu, Wang, Xinhua, Bai, Li, Li, Dan
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Behavior
Coal industry
Coal mines
Coal mining
Cognitive ability
Comparative analysis
Computer simulation
Decision making
Differential equations
Dynamical systems
Employees
Evolution
Expected utility
Inspection
Inspections
Mathematical models
Mine safety
Mining accidents & safety
Mining industry
Occupational safety
Safety management
Stability analysis
Subsidies
Supervision
Systems stability
China
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Summary: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2020/6210465