Department of Mathematics
Dr. M. Senthilkumaran
M.Sc., M.Phil., Ph.D., (Associate Professor and Head)
Date of Joining:
2007-06-14
2007-06-14
Educational Background
- Ph.D. Mathematics (2007), MK University
- M.Sc. Mathematics (1994-1996), CPA College, Bodinayakkanur
- B.Sc. Mathematics (1991-1994), CPA College, Bodinayakkanur
Professional Experience
- Senior Lecturer in Bharath Niketan Engineering College(1998-2005)
- Senior Lecturer in K L N College of Engineering(2005 - 2007)
- Assistant Professor in Thiagarajar College(2007 - 2021)
- Associate Professor in Thiagarajar College(2021 to present)
Awards & Recognitions
Research Publications
- M. Senthilkumaran, M Pitchaimani, K Ponmari, Threshold dynamics of an HIV/AIDS infection model with optimal control strategies in presence of deterministic and fluctuating environments, International Journal of Dynamics and Control, 13 (4), 121, (2025).
- K Ponmari, M Senthilkumaran, M Pitchaimani, The influence of Levy noise on the dynamical behavior of a stochastic HIV/AIDS model with vertical transmission, Journal of Applied Mathematics and Computing 70 (4), 3533-3554, (2024).
- K Ponmari, M Senthilkumaran, Stationary distribution of a delayed HIV/AIDS epidemic model with vertical transmission and environmental fluctuations, Commun. Math. Biol. Neurosci. (2024).
- K. Ponmari and M. Senthilkumaran, Stability Stability Analysis of Stochastic HIV/AIDS Epidemic Model with Vertical Transmission, Advances and Applications in Mathematical Sciences Volume 22, Issue 8, Pages 1879-1903, (June 2023).
- Gunasundari Chandrasekar, Salah Mahmoud Boulaaras, Senthilkumaran Murugaiah, Arul Joseph Gnanaprakasam, Bahri Belkacem Cherif, Analysis of a Predator-Prey Model with Distributed Delay, Journal of Function Spaces, Article ID 9954409, 6, ( 2021).
- M. Senthilkumaran and G. Arul Joseph, Stability Analysis of Fractional order Model of HIV infection of CD4 T cells with Independent Delays, International Journal of Computational and Applied Mathematics 12, (2017).
- M Senthilkumaran, C Gunasundari, Stability and Hopf bifurcation in a delayed predator-prey system with parental care for predators, J. Math. Comput. Sci. 7 (3), 495-521, (2017).
- M. Senthilkumaran and C. Gunasundari, Stability analysis of delayed prey-predator model with disease in the prey, International Journal of Computational and Applied Mathematics 12, (2017).
- M Senthilkumaran, SK Selvam, Solitary wave solution of the variable coefficient KdV-Burgers equation, BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE, 7, 395-401, (2017).
- M. Senthilkumaran and S. Karthigai Selvam, Lie Symmetry Analysis for the Variable Coefficient KdV-Burgers Equation, International Journal of Computational and Applied Mathematics 12, (2017).
- M Senthilkumaran, K Narmatha, Mathematical Anlaysis of an HIV/AIDS Epidemic Model with delay, TEJAS Thiagarajar College Journal, ISSN(Online): 2456-4044, Vol. 2(1) PP 63-76, (January 2017).
- M Senthilkumaran, C Gunasundari, Dynamics of delayed Prey-Predator model with parental care for predators, Appl. Math. Sci. 65, 3193-3203, (2015).
- M Senthilkumaran, M. and Gunasundari, Stability and Bifurcation Analysis of Delayed Prey-Predator Model with Parental Care for Predators, Proceedings of the National Conference on Mathematical Modeling, 82 – 91, (2015).
- B. Mayil Vaganan, M. Senthilkumaran and T. Shanmuga Priya, A Generalized Cole-Hopf Transformation for a Two-Dimensional Burgers Equation with a Variable Coefficient, Indian Journal of Pure and Applied Mathematics, 43(6): , December 2012.
- M. Jegatheesan, M. Senthilkumaran and M. Eyini, Enhanced Production of Laccase Enzyme by the White-Rot Mushroom Fungus Pleurotus Florida Using Response Surface Methodology, International Journal of Current Research, Vol. 4, Issue, 10, pp.025-031October, 2012.
- M. Senthilkumaran, D. Pandiaraja and B. Mayil Vaganan, Exact and explicit solutions of Euler-Painleve equations through generalized Cole-Hopf transformations, Applied Mathematics and Computation, 217(7): 3412-3416(2010).
- B.M. Vaganan, D. Pandiaraja, M. Senthilkumaran, Symmetry Analysis for a Generalized Kadomstev-Petviashvii Equation, arXiv preprint arXiv:1003.2513, (2010).
- B. Mayil Vaganan and M. Senthilkumaran, Exact Linearization and Invariant Solutions of a Generalized Burgers equation with Variable Viscosity, International Journal of Applied Mathematics and Statistics, Vol. 14, Number M09, (2009).
- M. Senthilkumaran, D. Pandiaraja and B. Mayil Vaganan, New exact explicit solutions of the generalized KdV equations, Applied Mathematics and Computation, 202(2): 693-699 (2008).
- B. Mayil Vaganan and M. Senthilkumaran, Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization, Nonlinear Analysis: Real World Applications, Vol. 9 issue5, 2222-2233(2008).
- B. Mayil Vaganan and M. Senthilkumaran, Invariant Solutions of the Generalized Burgers Equation with Variable Viscosity, Proceedings of UGC-DSA National Conference: Nonlinear Waves And Diffusion, 19 ? 29 (2006).
- B. Mayil Vaganan and M. Senthilkumaran, Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity, Studies in Applied Mathematics, Vol. 117, issue 2, 95-108, (2006).
- B. Mayil Vaganan and M. Senthilkumaran, Similarity solutions of the Burgers equation with linear damping, Applied Mathematics Letters, 17(10): 1191-1196 (2004).
- B. Mayil Vaganan and M. Senthilkumaran, Direct Similarity Solutions of the Burgers equation with Variable Viscosity, Indian Journal of Pure and Applied Mathematics, 34(11): 1645-1669, (2003).