An Analysis Of The Mathematical Modelling To Understand And Analyze Complex Systems : Fundamentals Concept

Dr. Rajendra Singh

Associate Professor, HOD Department of Mathematics, Off. Principal MBP.G. College, Dadri, G.B. Nagar

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http://doi.org/10.37648/ijrst.v14i02.006

Abstract

References

1. N. V. Martyushev, B. V. Malozyomov, S. N. Sorokova, E. A. Efremenkov, D. V. Valuev, and M. Qi, 'Review models and methods for determining and predicting the reliability of technical systems and transport,' Mathematics, vol. 11, no. 15, p. 3317, 2023.
2. A.G. Gad, 'Particle swarm optimization algorithm and its applications: a systematic review,' Archives of computational methods in engineering, vol. 29, no. 5, pp. 2531-2561, 2022.
3. H. Sarker, 'Ai-based modeling: Techniques, applications and research issues towards automation, intelligent and smart systems,' SN Computer Science, vol. 3, no. 2, p. 158, 2022.
4. N. Sharma and P. Gardoni, 'Mathematical modeling of interdependent infrastructure: An object-oriented approach for generalized network-system analysis,' Reliability engineering & system safety, vol. 217, p. 108042, 2022.
5. Q. Zhang and Y. Zhou, 'Recent advances in nonGaussian stochastic systems control theory and its applications,' International Journal of Network Dynamics and Intelligence, pp. 111-119, 2022.
6. S. A. Nugroho, A. F. Taha, N. Gatsis, and J. Zhao, 'Observers for differential algebraic equation models of power networks: Jointly estimating dynamic and algebraic states,' IEEE transactions on control of network systems, vol. 9, no. 3, pp. 1531-1543, 2022.
7. A. El-Awady and K. Ponnambalam, 'Integration of simulation and Markov Chains to support Bayesian Networks for probabilistic failure analysis of complex systems,' Reliability Engineering & System Safety, vol. 211, p. 107511, 2021.
8. D. Baleanu, S. S. Sajjadi, A. Jajarmi, and Ö. Defterli, 'On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control,' Advances in Difference Equations, vol. 2021, no. 1, pp. 1-17, 2021.
9. I.C. Clarke, 'Cellular automata and agent-based models,' in Handbook of regional science: Springer, 2021, pp. 1751-1766.
10. I.Schoenenberger, A. Schmid, R. Tanase, M. Beck, and M. Schwaninger, 'Structural analysis of system dynamics models,' Simulation Modelling Practice and Theory, vol. 110, p. 102333, 2021.
11. R. I. Sujith and V. R. Unni, 'Dynamical systems and complex systems theory to study unsteady combustion,' Proceedings of the Combustion Institute, vol. 38, no. 3, pp. 3445-3462, 2021.
12. W. Fan, P. Chen, D. Shi, X. Guo, and L. Kou, 'Multiagent modeling and simulation in the AI age,' Tsinghua Science and Technology, vol. 26, no. 5, pp. 608-624, 2021.
13. A.F. Siegenfeld and Y. Bar-Yam, 'An introduction to complex systems science and its applications,' Complexity, vol. 2020, pp. 1-16, 2020.
14. A.S. Currie et al., 'How simulation modelling can help reduce the impact of COVID-19,' Journal of Simulation, vol. 14, no. 2, pp. 83-97, 2020.
15. S. R. Nilsson et al., 'Simple Behavioral Analysis (SimBA)–an open source toolkit for computer classification of complex social behaviors in experimental animals,' BioRxiv, p. 2020.04. 19.049452, 2020.
16. R. Sameni, 'Mathematical modeling of epidemic diseases; a case study of the COVID-19 coronavirus,' arXiv preprint arXiv:2003.11371, 2020.
17. Ernesto Estrada, The Structure of Complex Networks: Theory and Applications, Oxford U. Press, 2019.
18. John Baez, Jacob Biamonte and Brendan Fong, Network Theory, 2019.
19. William Sandholm, Developing Game Theory, 2017.
20. Jonathan Guberman, Mass Action Response Networks and the Deficiency Zero Theorem, B.A. thesis, Department of Mathematics, Harvard University, 2016.

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