This book presents a comprehensive collection of research contributions from the National Conference on Modeling, Analysis, and Simulation (MAS 2024), held at the Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India, from 2830 June 2024. It discusses the foundational and emerging topics vital to solving scientific and engineering challengesranging from mathematical modeling, dynamical systems, and mechanics of solids and fluids to advanced statistical approaches and the application of artificial intelligence, machine learning, and the Internet of Things. Emphasizing mathematical modeling as a powerful lens to represent and analyze complex phenomena, this book bridges disciplines through quantitative abstraction and predictive insight.

This book highlights the role of computational models in capturing the behavior of physical systems, particularly within solid mechanics and fluid dynamics, where accurate simulations support efficient design and analysis. Contributions on dynamical systems theory explore intricate aspects of system stability, nonlinear dynamics, and bifurcation analysis, deepening our understanding of evolving systems. By showcasing the integration of AI and ML with traditional modeling frameworks, this book illustrates how intelligent tools enhance predictive capabilities, facilitate data-driven decision making, and offer scalable solutions to real-world complexity.

Explores cutting-edge research in mathematical modeling and numerical simulation techniques Analyzes complex systems using advanced computational methods Showcases case studies and real-world applications to validate theoretical models

Autorentext

R.K. Upadhyay is Professor in the Department of Mathematics and Computing at IIT (ISM) Dhanbad. His research covers dynamical systems, chaotic dynamics, population modeling, and spatial pattern formation in biological populations. He has published over 220 peer-reviewed papers and guided more than 15 Ph.D. scholars. He co-authored two books on mathematical modeling and biological dynamics. He serves as Editor-in-Chief of the Journal of Innovation Science and Sustainable Technologies and is on the editorial boards of several journals. He is Associate Editor of Food Web, Advances in Difference Equation , and Differential Equations and Dynamical Systems and Guest Editor for its special issue on nonlinear biosignaling models. He was Research Fellow at Eötvös University, Hungary, and is affiliated with the International Society of Computational Ecology.

S. A. Sahu is Associate Professor in the Department of Mathematics and Computing at IIT (ISM) Dhanbad, holding a Ph.D. in applied mathematics from the same institute (2012). His research focuses on solid mechanics, wave dynamics in smart composite structures, and ionospheric perturbation analysis using AI. He has developed analytical and semi-analytical models for wave propagation in piezo-composite structures. With 120+ published papers in reputed journals, he has supervised 16 Ph.D. scholars and led multiple funded R&D projects in electro-elastodynamics and ionospheric studies through deep learning. He served as Associate Editor for a special issue of the International Journal of Geophysics and has organized various conferences and training programs on modeling and simulation.

V. Sree Hari Rao serves as Director and Principal Research Scientist of the Foundation for Scientific Research & Technological Innovation, Hyderabad. A Ph.D. from IIT Kanpur, he is Fellow of the National Academy of Sciences India, Forum D'Analystes, and IETE. Also he is a Fellow of the Artificial Intelligence Industry Academy (FAIIA), USA. His research spans over dynamical systems, mathematical modeling, AI, ML, and data science. He has contributed to predictive modeling in science, engineering, medicine, and domains like aerospace, biology, health care, and finance. Alongside he has over 150 research publications, several books, and patents on a variety of products from various countries. He is the Founding and Continuing Editor-in-Chief of Differential Equations and Dynamical Systems , and also the Journal of Innovation Sciences and Sustainable Technologies. Further, he holds editorial roles with various International Journals of high repute . He has travelled widely on scientific and research missions and worked in several countries.

Atul Kumar Verma is Assistant Professor in the Department of Mathematics and Computing at IIT (ISM) Dhanbad. Earlier, he worked at the National Institute of Technology Trichy, Tamil Nadu, India. With a master's and a Ph.D. from IIT Roorkee and IIT Ropar, respectively, his research interests focus on mathematical modeling and simulation, including the topics bidirectional transport systems, statistical mechanics, stochastic transport, and MonteCarlo simulations. He is actively engaged in sponsored research projects and supervision of Ph.D. students. He is recipient of several international travel grants from renowned international organizations.

Ashok Das is Assistant Professor in the Department of Mathematics at IIT (ISM) Dhanbad. His research explores particulate process modeling through population balance models, discrete element methods, and multiscale couplings. He has developed advanced computational tools to optimize granulation, crystallization, and recycling in industrial settings. Before joining the IIT (ISM), he completed postdoctoral research at Institut Jean Lamour (Université de Lorraine, France) and the Bernal Institute (University of Limerick, Ireland). He earned his M.Sc. and Ph.D. in Mathematics from IIT Kharagpur in 2016 and 2022, respectively, integrating applied mathematics with real-world engineering solutions.

Inhalt

Modelling Spatiotemporal Dynamics and Delayed Predation in PreyPredator Systems with Holling Type IV Functional Response.- Image quality assessment using CLIP Embeddings.- Intuitionistic Fuzzy Characteristic Module of Gamma Ring.- Modeling of single-cell electroporation to evaluate transmembrane potential and pore density: Analytical solution.- Prediction of turbulence anisotropy with Artificial Neural Network in a wall-wake flow downstream of two horizontal cylinders.- A New Approach: Decision-Making from Similarity Measures of Fuzzy and Vague Sets.- Propagation of Love waves in a functionally graded porous piezoelectric structure with quadratic variation.- Computational Modeling of Coronary Artery Stenosis: Symmetric vs. Asymmetric Hemodynamic Effects.- Random Forest Regression for Vanadium Leaching Prediction: RMSE and MSE Analysis.- Theory of Light Wave Propagation in Graded-Index Claded Optical Fibers.- Anti-Plane Wave Dynamics in a Layered Model Featuring Interfacial Strain Gradient Effects.- Stability Theory of System of Generalized Fractional Order Wiener-Hopf Resolvent Dynamical System and System of Generalized Nonlinear Variational Inequality Problem.- Mathematical modelling of hollow fibre membrane bioreactor containing deformable porous scaffold: application to tissue engineering.- Dynamics of Rayleigh waves at the junction of orthotropic and piezo-thermoelastic media under rotation.