1. Name and Academic Designation

Dr. G. Jayalalitha
Professor of Mathematics, Department of Mathematics, VELS Institute of Science, Technology and Advanced Studies (VISTAS), Pallavaram, Chennai.

2. VIIM Resource Category

• Mathematical Modelling

• College and University Mathematics

• Applied Mathematics and Interdisciplinary Applications

• Computational Mathematics and Mathematical Software

• Research Methodology and Research Mentoring

3. Profile

Dr. G. Jayalalitha is a Professor of Mathematics at VELS Institute of Science, Technology and Advanced Studies, Chennai, with research expertise in fractal geometry, mathematical modelling, Graph Theory, and their applications to biological, medical, financial, and other complex systems. She holds a Ph.D. in Mathematics for her research on mathematical modelling in biology using fractals. Her research includes fractal models of blood flow and blood vessels, image-based analysis of cancer and other medical conditions, financial time-series analysis using fractal dimensions and Brownian motion, molecular graph theory, fuzzy graphs, and queueing models. She has an extensive research publication record, has presented papers at national and international conferences, and has supervised doctoral and postgraduate research scholars. Her interdisciplinary work demonstrates how mathematical structures, fractal methods, and graph-theoretical techniques can be used to investigate problems arising in biology, medicine, finance, and applied sciences.

4. Areas of Contribution to VIIM

• Mathematical Modelling: Workshops on developing mathematical models for biological, medical, financial, and other real-world systems.

• Fractal Geometry and Applications: Exploring fractals, self-similarity, fractal dimensions, Julia sets, and their applications through mathematical examples and visualisation.

• Graph Theory and Network Applications: Introducing graph labelling, domination theory, molecular graphs, network analysis, and related applications.

• Mathematical Modelling in Biology and Medicine: Demonstrating mathematical approaches to blood flow, blood vessels, medical image analysis, and biological patterns.

• Mathematical Finance: Exploring Brownian motion, financial time series, stock-price modelling, and quantitative analysis of financial data.

• Fuzzy Mathematics: Introducing fuzzy graphs, fuzzy sets, and their applications in decision-making, hospital systems, and complex problems.

• Queueing Theory and Simulation: Applying queueing models and simulation to service systems and resource-management problems.

• Computational Mathematics: Demonstrating suitable computational approaches for exploring fractals, graphs, and mathematical models.

• Research Methodology and Mentoring: Guiding UG/PG projects and research scholars in mathematical investigation, modelling, literature review, and research presentation.

• Interdisciplinary Research: Helping learners identify mathematical structures in biological, medical, financial, and scientific problems and investigate them through mathematical methods