Methods of Mathematical Modeling

Dr. Hemen Dutta PhD is a Professor at Gauhati University, India. He also served three other higher learning academic institutions in different capacities prior to joining the Gauhati University. His current research interests are in the areas of nonlinear analysis and mathematical modeling. He is a regular and guest editor of several international indexed journals. He has published 25 books, including Mathematical Modelling and Analysis of Infectious Diseases, New Trends in Applied Analysis and Computational Mathematics, Current Trends in Mathematical Analysis and Its Interdisciplinary Applications from Springer, Concise Introduction to Basic Real Analysis, Topics in Contemporary Mathematical Analysis and Applications, and Mathematical Methods in Engineering and Applied Sciences from CRC Press, and Fractional Order Analysis: Theory, Methods and Applications from Wiley, among others. Dr. Dutta is also an honorary research affiliate and speaker for several international and national events.

• 1. Introduction to Mathematical Modeling in Bioscience2. Construction of Derivative-Free Iterative Schemes with Second and Third Order from Two Known Data at One Point3. The Generalized Navier-Stokes Equations with Critical Fractional Dissipation in Sobolev-Gevrey Spaces4. Study on Flow of Ternary Nanofluids with Heat Transfer Optimization using Taguchi Method5. Hybrid High-Resolution Technique for Numerically Computing Hyperbolic Conservation Laws6. Existence of Positive Solutions to a Type of Fractional Differential Equation7. Influence of the Allee Effect on Prey in a Modified Leslie-Gower Type Predation Model Considering Generalist Predators8. An Efficient Integral Equation Approach to Study Wave Interaction by a Bottom-Mounted Rectangular Barrier in Presence of a Pair of Partially Immersed Thin Vertical Barriers9. Analytic and Computational Treatment of Random Differential Equations via the Liouville Partial Differential Equation