• Principal

  2017 - Till date, Thiagarajar College, Madurai

• Associate Professor, Department of Mathematics

  4 Years (2015 - 2017 ), Thiagarajar College, Madurai

• Assistant Professor, Department of Mathematics

  13 Years (2000 - 2015) , Thiagarajar College, Madurai

• Resource Person

  5 Years (1995 - 2000) , Madurai Kamaraj University, Madurai

• Teaching Assistant, Department of Mathematics

  1 Year (1994 - 1995) , Thiagarajar College, Madurai

Honours and Awards

• BEST PRINCIPAL - ICT ACADEMY - 2025
• VOCATIONAL EXCELLENCE AWARD - ROTARY INTERNATIONAL DISTRICT 3000 - 2025

Sponsored Research Project :  

Paper Publications :

2025:

• Murugeswari, D., Pandiaraja, D., & Abirami, V. (2025). Analysis of delayed mosquito life-cycle model. Applied Engineering Mathematics: Fluid and Solid Mechanics in Life Science.

This paper presents a mathematical investigation of a mosquito life-cycle model incorporating time delay to represent developmental stages. The authors analyze the existence and stability of equilibrium points and examine how delays influence population dynamics. Using analytical techniques from delay differential equations, the study highlights threshold conditions under which mosquito populations persist or decline, offering insights relevant to vector-borne disease control strategies.

• Sivakumar, R., Pandiaraja, D., Shanmugam, E., & Kathiresan, K. M. (2025). Radial and antipodal domination number of trees. TWMS Journal of Applied & Engineering Mathematics, 15(3).

This work explores two domination parameters—radial domination and antipodal domination—within the class of tree graphs. Structural properties of trees are exploited to derive bounds and exact values of these parameters. The results contribute to domination theory in graph theory and have potential applications in network optimization and resource placement problems.

2024:

• Madhavan, M., Shobana, B., Pandiaraja, D., & Prakash, P. (2024). An innovative experimental and mathematical approach in electrochemical sensing for mapping a drug sensor landscape. Nanoscale, 16(14), 7211–7224.

This interdisciplinary study integrates electrochemical experiments and mathematical modelling to develop a comprehensive framework for drug sensing at the nanoscale. The authors analyze sensor response characteristics and construct mathematical interpretations to map sensing efficiency and selectivity. The work advances electrochemical sensor design and provides a quantitative foundation for next-generation biomedical diagnostics.

2023:

• Esakkimuthu, S., Duraisamy, P., & Ganesan, P. (2023). Strong restrained domination number on trees and product of graphs: An algorithmic approach. Discrete Mathematics, Algorithms and Applications, 15(08), 2250172.

This paper introduces algorithmic techniques to compute the strong restrained domination number for trees and graph products. By establishing theoretical properties and efficient algorithms, the authors extend domination concepts and demonstrate applicability in computational graph theory and network analysis.

• Muralikrishnan, S., Shanmugam, E., Nagendran, N. A., & Pandiaraja, D. (2023). Diversity and abundance of aquatic birds in Koonthankulam village pond, Tamil Nadu, India. Journal of Threatened Taxa, 15(6), 23297–23306.

This ecological study documents the species diversity, abundance, and seasonal variation of aquatic birds in a village pond ecosystem. Field observations and statistical analyses reveal the ecological significance of small inland wetlands in biodiversity conservation, emphasizing the need for habitat protection and sustainable management.

• Madheswaran, M., Lingaraja, K., & Duraisamy, P. (2023). Econometric and stochastic analysis of stock price before and during COVID-19 in India. Environment, Development and Sustainability.

The authors employ econometric and stochastic models to compare stock market behaviour in India before and during the COVID-19 pandemic. The analysis reveals increased volatility and structural changes in stock prices, offering insights into financial risk and policy implications during global crises.

2021:

• Pandiaraja, D., Shanmugam, E., & Sivakumar, R. (2021). Linear programming formulation for some generalized domination parameters. Discrete Mathematics, Algorithms and Applications, 13(04), 2150044.

This paper formulates several generalized domination parameters using linear programming techniques. The approach provides a unified optimization framework for domination problems and demonstrates how classical graph parameters can be efficiently computed using LP methods.

• Duraisamy, P., & Esakkimuthu, S. (2021). Linear programming approach for various domination parameters. Discrete Mathematics, Algorithms and Applications, 13(01), 2050096.

The study develops linear programming models for multiple domination concepts in graphs. By translating combinatorial problems into optimization formulations, the paper enhances computational tractability and contributes to applied graph theory.

2017:

• Pandiaraja, D., Nagendran, N. A., Murugeswari, D., & Mishra, V. N. (2017). Spatial competition mathematical model analysis for the invasion, removal of Kappaphycus algae in Gulf of Mannar with propagation delays. Communications in Mathematical Biology and Neuroscience, Article ID 10.

This work models the spatial invasion and removal dynamics of the invasive algae Kappaphycus using delay differential equations. Stability and invasion thresholds are analyzed, offering mathematical support for ecological management strategies in coral reef ecosystems.

• Pandiaraja, D., Nagendran, N. A., Murugeswari, D., & Mishra, V. N. (2017). Direction and stability of Hopf bifurcation. Communications in Mathematical Biology and Neuroscience, Article ID 21.

The paper investigates Hopf bifurcation phenomena in nonlinear dynamical systems, focusing on direction and stability conditions. Analytical results provide deeper understanding of oscillatory behaviour in biological and ecological models.

• Murali Krishnan, S., Nagendran, N. A., Pandiaraja, D., & Moorthi, P. V. (2017). Isolation and characterization of amylase producers and optimization of enzyme production. International Journal of Development Research, 7(12), 18128–18134.

This experimental study isolates amylase-producing microorganisms and optimizes enzyme production conditions. The findings support industrial and biotechnological applications of microbial enzymes.

• Muralikrishnan, S., Nagendran, N. A., Pandiaraja, D., Nair, A., & Kubendran, T. (2017). Avifaunal diversity and water quality analysis of an inland pond, South India. International Journal of Current Microbiology and Applied Sciences, 6(7).

The paper correlates avian diversity with water quality parameters in an inland pond. Results highlight the role of physicochemical factors in shaping bird assemblages and wetland health.

• Pandiaraja, D., Murugeswari, D., & Abirami, V. (2017). Stability analysis of mosquito life span model with delay. Advances in Dynamical Systems and Applications, 12(2), 195–204.

This study analyzes a delay differential equation model describing mosquito lifespan dynamics. Stability results demonstrate how developmental delays influence population persistence, with implications for disease control modelling.

• Krishnan, S. M., Nagendran, N. A., & Pandiaraja, D. (2017). Survey of birds in Chitrangudi and Kanjirankulam village ponds. Journal of Entomology and Zoology Studies, 5(1), 407–412.

A comprehensive bird survey reveals species richness and habitat associations in two village ponds. The study underscores the conservation value of traditional wetland ecosystems.

2014:

• Pandiaraja, D., Nagendran, N. A., Chandrasekaran, S., & Aditya, R. P. (2014). Graph theoretical modelling and analysis of fragile honey bee pollination network. Current Science, 1988–1996.

This paper applies graph theory to model honey bee pollination networks, identifying structural fragility and key species. The results provide quantitative insights into ecosystem resilience and pollinator conservation.

• Kamalakannan, B., Jeevamani, J. J. J., Nagendran, N. A., Pandiaraja, D., et al. (2014). Impact of removal of invasive species Kappaphycus alvarezii from coral reef ecosystem in Gulf of Mannar. Current Science, 1401–1408.

The study evaluates ecological recovery following the removal of invasive algae from coral reefs. Field data demonstrate improvements in coral health and biodiversity, supporting active management interventions.

2012:

• Basavaraja, N., Chandrashekhara, B. H., & Ahamad, R. (2012). Production of an all-male population of guppy, Poecilia reticulata (Schneider). Current Science, 103(10).

This study focuses on the controlled production of an all-male population of guppy fish using hormonal and biological techniques. The findings demonstrate effective sex reversal and highlight applications in ornamental fish culture, where male guppies are economically preferred due to their coloration and growth characteristics.

• Joe Jeevamani, J. J., Kamalakannan, B., Nagendran, N. A., et al. (2012). Coral architecture as a choice for palaeontological studies in India. Current Science, 103(10).

The paper examines coral structural features as reliable indicators for palaeontological and paleoenvironmental reconstruction. By analyzing coral morphology and reef architecture, the authors emphasize the importance of Indian coral ecosystems in understanding historical climatic and oceanographic variations.

• Vaganan, B. M., Sundar, S., Pandiaraja, D., & Priya, E. E. (2012). Cauchy–Euler model and cellular automata simulation of the rate of recovery of the infected airway from COPD. International Conference on Pattern Recognition, Informatics and Medical Engineering.

This conference paper integrates mathematical modelling and cellular automata simulation to study airway recovery dynamics in Chronic Obstructive Pulmonary Disease (COPD). The Cauchy–Euler framework provides analytical insight, while simulations capture spatial recovery patterns, supporting biomedical decision-making.

• Mayil Vaganan, B., Pandiaraja, D., Sundar, S., & Priya, E. E. (2012). Cauchy–Euler model and cellular automata simulation of the rate of recovery of the infected airway from COPD. IEEE Xplore.

An extended version of the COPD recovery model is presented using computational simulations and analytical methods. The work strengthens interdisciplinary connections between applied mathematics, medical physics, and healthcare modelling.

2011:

• Chandrasekaran, S., Nagendran, N. A., Krishnankutty, N., & Pandiaraja, D. (2011). Disposed paper cups and declining bees. Current Science, 101(10).

This environmentally focused study links improperly disposed paper cups to declining bee populations. The authors discuss ecological hazards caused by chemical residues and habitat disturbance, highlighting the need for sustainable waste management to protect pollinators.

2010:

• Pandiaraja, D., & Vaganan, B. M. (2010). Symmetry analysis of 2+1 dimensional Burgers equation with variable damping. arXiv preprint arXiv:1003.2511.

The paper applies Lie symmetry analysis to a damped Burgers equation in higher dimensions. Exact invariant solutions are derived, contributing to theoretical advances in nonlinear partial differential equations and fluid dynamics.

• Vaganan, B. M., Pandiaraja, D., & Senthilkumaran, M. (2010). Symmetry analysis for a generalized Kadomtsev–Petviashvili equation. arXiv preprint arXiv:1003.2513.

This work investigates symmetry properties of a generalized KP equation. Using group-theoretic methods, the authors obtain reductions and exact solutions, enhancing analytical understanding of nonlinear wave propagation.

• Vaganan, B. M., Pandiaraja, D., & Senthilkumaran, M. (2010). Symmetry analysis for a generalized Kadomtsev–Petviashvili equation. arXiv e-prints.

This version further elaborates the mathematical structure of the KP equation through symmetry reductions, reinforcing the role of symmetry methods in nonlinear evolution equations.

• Kamalakannan, B., Joyson, J. J. J., Nagendran, N. A., & Pandiaraja, D. (2010). Turbinaria sp. as victims to Kappaphycus alvarezii in reefs of Gulf of Mannar, India. Coral Reefs.

The study documents the ecological impact of invasive Kappaphycus algae on native Turbinaria species. Field observations reveal competitive displacement and reef degradation, emphasizing the urgency of invasive species management.

• Pandiaraja, D., & Mayil Vaganan, B. (2010). Analysis for the generalized Kadomtsev–Petviashvili equation. International Journal of Computational and Applied Mathematics, 5, 415–421.

This paper provides analytical solutions to the generalized KP equation using mathematical techniques for nonlinear PDEs. The results are relevant to fluid mechanics and wave theory.

• Senthilkumaran, M. V., & Pandiaraja, D. (2010). Exact and explicit solutions of Euler–Painlevé equations through generalized Cole–Hopf transformations. Applied Mathematics and Computation, 217, 3412–3416.

The authors derive exact solutions for Euler–Painlevé equations using generalized Cole–Hopf transformations. The methodology enriches solution techniques for nonlinear differential equations.

2008:

• Chandrasekaran, S., Nagendran, N. A., Pandiaraja, D., & Kamalakannan, B. (2008). Bioinvasion of Kappaphycus alvarezii on corals in the Gulf of Mannar, India. Current Science, 94(9), 1167–1171.

This highly cited paper documents the spread and ecological consequences of Kappaphycus invasion on coral reefs. The study provides baseline data critical for reef conservation and policy interventions.

• Senthilkumaran, M. V., & Pandiaraja, D. (2008). New exact and explicit solutions of generalized KdV equations. Applied Mathematics and Computation, 209, 693–699.

The work presents new analytical solutions for generalized Korteweg–de Vries equations, contributing to nonlinear wave theory and applied mathematical physics.

2000:

• Swaminathan, D. V., Baskaran, R., & Pandiaraja, D. (2000). Generalized Eulerian graphs. National Seminar of Mathematics, St. Joseph’s College, Tiruchirapalli, 49–50.

This early work studies extensions of Eulerian graph concepts, providing foundational theoretical insights in graph theory with implications for network traversal and design.

• National Assessment And Accreditation Council (NAAC) - Panel Member - 2020
• Thiagarajar College of Engineering, IQAC Composition - Management Nominee - Since 2022
• Research Advisory Committee, Madurai Kamaraj University - Academic Expert - 2020
• Academic Council, Madurai Kamaraj University - Mamber - Since 2017
• Doctoral Committee Member - Vellore Institute of Technology, Vellore