Advances in Mathematical Modeling in Science, Engineering, and Social Sciences

Dr. Mourad Bezzeghoud is a distinguished geophysicist and Full Professor at the University of Évora, Portugal. Born in Oran, Algeria, he earned his engineering degree in Applied Geophysics from INHC Boumerdes, followed by a Master’s and PhD in Geophysics from the University Denis Diderot – Paris VII. His research focuses on earthquake seismology, seismic risk, and seismotectonics, particularly in the Ibero-Maghrebian region. Dr. Bezzeghoud has held academic positions across Europe and North Africa, including at the École des Mines de Paris and the University Complutense of Madrid. He has published extensively and coordinated numerous national and international conferences. At Évora, he has served as Director of the School of Science and Technology, President of the Physics Department, and Coordinator of the Institute of Earth Sciences. He is currently an integrated member of the Center for Sci-Tech Research in Earth System and Energy (CREATE), University of Évora (Portugal).Fernando Carapau is an Associate Professor at the University of Évora in Portugal and Director of the School of Science and Technology. He holds a PhD and Habilitation in Mathematics from Instituto Superior Técnico, University of Lisbon, and a Bachelor's degree in Mathematical Analysis from the University of Évora. His research focuses on mathematical analysis and numerical methods for ordinary and partial differential equations, with applications in fluid mechanics and hemodynamics. Dr. Carapau is an integrated member of the Research Centre for Mathematics and Applications (CIMA) and collaborates with CEMAT-IST. He has developed one-dimensional models using Cosserat theory to study fluid flow in straight and curved tubes, contributing to the understanding of complex fluid-structure interactions. His publications span international journals, highlighting his expertise in non-Newtonian fluid dynamics and applied mathematics. Dr. Feliz Manuel Barrão Minhós is a Full Professor in the Department of Mathematics at the University of Évora, Portugal. He holds a PhD and Habilitation in Mathematics and serves as Director of the PhD Program in Mathematics and the Research Centre for Mathematics and Applications (CIMA). His research spans differential equations, boundary value problems, fixed point theory, impulsive systems, and functional differential equations, with a focus on variational and topological methods. Dr. Minhós has published extensively in international journals, books, and conference proceedings, contributing significantly to nonlinear analysis and mathematical modeling. He is a member of the editorial boards of several scholarly journals and actively collaborates with researchers worldwide. In addition to his academic roles, he serves on the Scientific Council of the School of Science and Technology and the editorial board of Évora University Press, reflecting his leadership in both research and institutional development.Dr. Ashwin Vaidya is a Full Professor in the Department of Mathematics at Montclair State University in Montclair, New Jersey. He holds a Ph.D. in Mechanical Engineering and multiple degrees in Physics and Mathematics from the University of Pittsburgh. Dr. Vaidya’s interdisciplinary research focuses on complex systems, fluid dynamics, and mathematical modeling of biological, psychological, and sociological phenomena. He also holds a joint appointment in the Department of Physics and Astronomy. His academic journey includes postdoctoral appointments at Carnegie Mellon University, Florida State University, and the University of North Carolina at Chapel Hill. Dr. Vaidya is deeply committed to socially responsible education and has contributed to curriculum development that integrates civic and ethical perspectives.  He is the Director of the Complex Fluids Laboratory and has also served as Chairperson of the Mathematics Department and Director of the Science Honors Innovation Program at Montclair State University.

• Part I Pure Mathematics.- Chapter 1 Algebraic structure for recombining cellular automata.- Chapter 2 Extending Meadows to the Non-Comutative Case.- Chapter 3 Determinant-Permanent Relations in Singular Symmetric Matrices.- Chapter 4 A note on nonlocal supremal functionals.- Chapter 5 Ambrosetti-Prodi alternative for higher-order functional problems.- Chapter 6 Factorisation of the Classical Nonstandard Bounded Functional Interpretation.- Chapter 7 Elementary nonstandard axiomatic systems and standard real numbers.- Part II Differential Equations & Dynamical Systems.- Chapter 8 SBH-ellipticity of the relaxed interfacial energy density in the context of second-order structured deformations.- Chapter 9 First-Order Nonlinear Problems with Re ection and Piecewise Constant Dependence.- Chapter 10 Milnor Attractors on pattern iterations of flat-topped tent maps revisited.- Chapter 11 Vasicek and CIR stochastic differential equations models applied to mortality rates.- Part III Applied Mathematics & Mathematical Modeling.- Chapter 12 Mathematical modelling of global solar radiation using machine learning.- Chapter 13 Modelling and Characterization of Photovoltaic Thermal System an Overview.- Chapter 14 Investigation of Virus Transmission in Plants by Using Time Delay Tool, Curative and Preventive Treatment.- Chapter 15 Passive Seismic Tomography: Evaluating the Effect of Earthquake Clustering on Crustal Structure Accuracy.- Chapter 16 Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities under HVDC Conditions.- Chapter 17 Mathematical Modeling of Collective Behavior in Physical and Social Systems.- Chapter 18 Analysis and Mathematical Recomposition of The Art of the Fugue.- Part IV Machine Learning & Data Science Applications.- Chapter 19 A Normalized Deep Learning Framework for 2D Linear Elasticity with Graph Neural Networks.- Chapter 20 Portuguese Archives Handwritten Text Recognition of Passport Requisitions.- Part V Statistics & Estimation Theory.- Chapter 21 Delta method estimation for SDE mixed models: sensitivity to random parameter distribution.- Chapter 22 Modeling Air Quality During Portugal's Fire Season Using Extreme Value Theory.- Chapter 23 Novel and Robust Total Least Squares Estimation Method for Non Linear Models.- Chapter 24 Four Estimation Approaches for Structural Equation Modeling: an Empirical Appli-cation in psychosocial risk.- Chapter 25 Statistical information theory and its importance for the development of statistical methods.- Part VI Optimization & Control in Stochastic Environments.- Chapter 26 Optimal harvesting in randomly varying environments: sensitivity of profit and effort to population and economic parameter.- Chapter 27 State Space Interpretation of Governance: A Control Theoretic Perspective.