My research interests includes the following areas:

Formulation and development of Mathematical Models of Ecological systems and to investigate different qualitative results, like stability (local & global), persistency, change of stability through change of parameters, bifurcations (Hopf, Bogdanov-Takens, homoclinic, saddle-node), stability of periodic solutions , stability in presence of environmental fluctuations, modelling Allee effect of such model systems.

Bifurcation theory of vector fields.

Normal form theory and study of delay differential equations.

*Selected Publications: *

*1. ***Saha, T.** and Bandyopadhyay, M.(2008): "Dynamical Analysis of a Delayed Ratio-Dependent Prey Predator Model within Fluctuating Environment" , **Applied Mathematics & Computations **(196) 458-478.

*2. ***Saha, T.** and Bandyopadhyay, M.(2008): "Dynamical Analysis of Toxin Producing Phytoplankton-Zooplankton Interactions" , **Nonlinear Analysis: Real World Applications** 10(1) 314-332.

*3. ***Saha, T.** and Bandyopadhyay, M.(2008): "Effect of Small Time Delay in a Predator-Prey Model within Random Environment" , **Differential Equations and Dynamical Systems **16(3) 225-250.

*4. Bandyopadhyay, M., ***Saha, T.** and Pal, R. (2008): "Deterministic and Stochastic Analysis of a Delayed Allelopathic Phytoplankton Model within Fluctuating Environment" , **Nonlinear Analysis: Hybrid Systems** 2(3) 958-970.

*5. ***Saha, T.** and Bandyopadhyay, M.(2008): "Multiple Scale Analysis of a Delayed Predator-Prey Model within Random Environment" , **J. Applied Mathematics & Informatics** (26)1191-1205.

*6. ***Saha, T.** and Chakrabarti, C.G.(2009): "Dynamical Analysis of a Delayed Ratio-Dependent Holling-Tanner Predator-Prey Model" , **J. Mathematical Analysis and Applications**(358)389-402.

*7. ***Saha, T.** and Chakrabarti, C.G.(2011): "Stochastic Analysis of Prey Predator Model with Stage Structure for Prey." , **J. Applied Mathematics & Computing** 35(1-2) 195-209.

*8. Pal, P.J., Sarwardi, S., ***Saha, T.** & Mandal, P.K. (2011): "Mean Square Stability in a Modified Leslie Gower and Holling Type II Predator-Prey Model" , ** J. Applied Mathematics & Informatics** 29(3-4) 781-802.

*9. Pal, P.J.,*** Saha, T.**, Sen, M. & Banerjee, M. (2012): "A Delayed Predator-Prey Model with Strong Allee Effect in Prey Population Growth" , **Nonlinear Dynamics** (68)23-42.

*10. Pal, P.J., Haque, M.,*** Saha, T.** & Ryu, K.(2013): "A Predatory Commensalism Model in a Deterministic and Stochastic Environment" , **Dynamics of Continuous, Discrete and Impulsive Systems** 20(1) 1-32.