PHD at SRM Institute of Science and Technolog, India
Dr. R. Senthamarai is an Associate Professor in the Department of Mathematics at SRM Institute of Science and Technology, Tamilnadu, India. Her research spans Mathematical Modeling, Mathematical Analysis, Non-Linear Ordinary and Partial Differential Equations, Approximation Techniques, and Numerical Methods. She has an H-index of 8 and an average impact factor of 3.366. A life member of ISTE, IAENG, and ISCA, she is also a reviewer for the Journal of New Theory. Currently, she is working on a project funded by SRM-SERI, focusing on the dynamics of Rugose Spiraling Whitefly affecting coconut trees.
Professional Profiles
Education
SRM Institute of Science and Technology | SRM · Department of Mathematics Doctor of Philosophy
Professional Experience
Associate Professor, Department of Mathematics SRM Institute of Science and Technology,
Research Interests
Mathematical Modeling Mathematical Analysis Non-Linear Ordinary and Partial Differential Equations Approximation Techniques and Numerical Methods Qualitative Analysis
Project
Project Title: Mathematical Modeling and Analysis on the Dynamics of Rugose Spiraling Whitefly Affecting Coconut Trees Scheme: SRM-SERI (Seed Grant under Selective Excellence Research Initiative 2023-2024) Duration: 2 Years (Sep 2023 – Sep 2025)
Research Focus
Dr. R. Senthamarai’s research focuses on mathematical modeling, particularly in the fields of electrochemical processes, reaction-diffusion systems, and biosensor kinetics. Her work includes studies on diffusion-limited currents, reaction diffusion processes, and the mathematical modeling of epidemics and ecological systems. She employs analytical and numerical techniques, such as homotopy perturbation methods, to solve complex non-linear equations. Her research also extends to predator-prey dynamics and enzyme kinetics, contributing to both theoretical advancements and practical applications in mathematical chemistry and biology. Dr. Senthamarai’s diverse research outputs demonstrate her expertise in applying mathematical approaches to interdisciplinary scientific problems.
Publications
- Mathematical analysis on novel coronavirus model using HPM, Publication date: 2024.
- A kinetic non-steady state analysis of immobilized enzyme systems with external mass transfer resistance, Publication date: 2024.
- An amperometric biosensor and its steady state current in the case of substrate and product inhibition: Taylors series method and Adomian decomposition method. Publication date: 2023.
- Batch reactor performance for the enzymatic synthesis of cephalexin: Some approximate analytical approach for ADCA and PGME, Publication date: 2023.
- A New Approximate Analytical Expression of Non-Isothermal Diffusion Model, Publication date: 2023.
- A study on the dynamics of pest population with biocontrol using predator, parasite in presence of awareness, Publication date: 2022.
- A Nonlinear Prey-Predator Model with Holling Type III Functional Response: An Analytical Approach with Stability and Sensitivity Analyses., Publication date: 2022.
- Impact of Awareness on the Dynamics of Pest Control in Coconut Trees-A Mathematical Model.
Publication date: 2022.
- Analytical approximation of a nonlinear model for pest control in coconut trees by the homotopy analysis method, Publication date: 2022.
- Reaction and Kinetics Studies of Immobilized Enzyme Systems: PartII With External Mass Transfer Resistance, Publication date: 2022.
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