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<p>Based on the current situation of student cultivation mode and student management in colleges and universities, this paper puts forward six basic assumptions on student cultivation and management, and combines the assumptions to obtain the game payment matrix of student cultivation mode and student management. The dynamic equations of the cultivation and management process are reproduced by using mathematical calculus to derive the game payment matrix. Under the constraints, the game evolution model equilibrium point is tested for stability, the game evolution state is derived, and the game evolution model is completed to optimize the innovation of college student training mode and student management mechanism. Numerical simulation analysis is performed on the evolutionary game of college student cultivation and management based on the parameter settings of the evolutionary game model. The results show that the evolutionary game model will converge to a stable strategy point when the ratio of managers (teachers) and students’ initial participation in cultivation and management activities is set to (0.05, 0.95), (0.05, 0.05), (0.95, 0.05) or (0.95, 0.95). This study has a beneficial impact on cultivating exceptional talents, and it also provides a solid resource for society to deliver top-notch talent.</p>
</abstract>

Based on the current situation of student cultivation mode and student management in colleges and universities, this paper puts forward six basic assumptions on student cultivation and management, and combines the assumptions to obtain the game payment matrix of student cultivation mode and student management. The dynamic equations of the cultivation and management process are reproduced by using mathematical calculus to derive the game payment matrix. Under the constraints, the game evolution model equilibrium point is tested for stability, the game evolution state is derived, and the game evolution model is completed to optimize the innovation of college student training mode and student management mechanism. Numerical simulation analysis is performed on the evolutionary game of college student cultivation and management based on the parameter settings of the evolutionary game model. The results show that the evolutionary game model will converge to a stable strategy point when the ratio of managers (teachers) and students’ initial participation in cultivation and management activities is set to (0.05, 0.95), (0.05, 0.05), (0.95, 0.05) or (0.95, 0.95). This study has a beneficial impact on cultivating exceptional talents, and it also provides a solid resource for society to deliver top-notch talent.

Combined with the Internet technology of college student training mode innovation and student management mechanism optimization

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Based on the current situation of student cultivation mode and student management in colleges and universities, this paper puts forward six basic assumptions...

Combined with the Internet technology of college student training mode innovation and student management mechanism optimization

Published Online: Jan 31, 2024

Page range: -

Received: Dec 20, 2023

Accepted: Dec 25, 2023

DOI: https://doi.org/10.2478/amns-2024-0216

Keywords
Evolutionary game model, Equilibrium point, Stability test, Replication dynamic equation, Student management

© 2024 Xiaolan Yang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Combined with the Internet technology of college student training mode innovation and student management mechanism optimization

Published Online: Jan 31, 2024

Page range: -

Received: Dec 20, 2023

Accepted: Dec 25, 2023

DOI: https://doi.org/10.2478/amns-2024-0216

KeywordsEvolutionary game model, Equilibrium point, Stability test, Replication dynamic equation, Student management

© 2024 Xiaolan Yang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Evolutionary game model, Equilibrium point, Stability test, Replication dynamic equation, Student management