Dr.Dilip D S

img-93
Dr.Dilip D S

Dr.Dilip D S

Associate Professor

Date of joining : 17/07/2013

Biography

Dr. Dilip D S did his postgraduation and M.Phil from Scott Christian College, Nagercoil and Ph. D from Thiruvalluvar University, Vellore. Worked as  Project Fellow in a UGC Sponsored Major Research Project, during 21.10.2008 - 07.07.2011. Worked as Junior Research Fellow  in a NBHM Sponsored Major Research Project during  08.07.2011 - 06.07.2013. Served as Head of the Department from June 2023 to May 2026.
 

Research Guidance

  •  Ph.D. Research Guide under University of Kerala, Produced 4 Ph.Ds.

 

Membership

  • International Society of Difference Equations
  • Indian Mathematical Society (L/2022/127).
  • Academia for Advanced Research in Mathematics Society(AARM)

As Resourse Person

  • Delivered an invited talk in the \LaTeX workshop, organized by RMD Engineering College, Chennai during 31 March 2012.
  • Delivered an invited talk in the Workshop on \LaTeX, organized by Scott Christian College (Autonomous), Nagercoil on 10.02.2018 and 13.02.2018.
  • Delivered an invited talk in the Workshop on Typesetting in \LaTeX, organized by the Department of Mathematics, Scott Christian College (Autonomous), Nagercoil on 05.01.2019.
  • Chaired a paper presentation session in a two day National Seminar on Contemporary Mathematics, organized by the Department of Mathematics, Scott Christian College (Autonomous), Nagercoil from 12.04.2019 to 13.04.2019.
  • Delivered an invited talk in the International Conference on Advanced Trends in Applied Mathematics, organized by the Department of Mathematics, Government Arts and Science College, Vandavasi, Tamil Nadu held during 02.02.2026 to 03.02.2026.
  • Delivered an invited talk in the 9th International Conference on Recent Innovations in Modern Science and  Technology (ICRIMST-2026), organized by the Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu held during 16.09.2026 to 18.09.2026.

Publications

  • M.Maria Susai Manuel,  G.Britto Antony Xavier, R.Pugalarasu  and D.S.Dilip, On the solutions of second order generalized difference equations, Advances in Difference Equations, 2012, 2012:105.

  • M.Maria Susai Manuel,  G.Britto Antony Xavier, R.Pugalarasu  and D.S.Dilip, An Application on the Second-order Generalized Difference Equations, Advances in Difference Equations, 2013, 2013:35.

  • M.Maria Susai Manuel,  G.Britto Antony Xavier, D.S.Dilip  and  G.Dominic Babu, Nonexistence of Solutions of Certain kind of $\alpha$ Difference Equation, Southeast Asian Bulletin of  Mathematics, 40(3), 2016, 329-340.

  • D.S.Dilip,  Adem Kilicman and  Sibi C. Babu, Asymptotic and Boundedness Behaviour of a Rational Difference Equation, Journal of Difference Equations and Applications, 25(3), 2019, 305-312.

  • D.S.Dilip  and  Tony Philip, Global Stability, Periodicity and Boundedness Behavior of a Difference Equation, Southeast Asian Bulletin of  Mathematics, 44(3), 2020, 315-323.

  • D.S.Dilip and  Sibi C Babu, Rectangular p Periodicity and $p_q$ Periodicity of a Rational Difference System, Examples and Counterexamples, 1, 2021, 100004.

  • D.S.Dilip and Smitha Mary Mathew, Dynamics of a Second?Order Nonlinear Difference System with Exponents, Journal of the Egyptian Mathematical Society, 2021, 29:10.

  • D.S.Dilip and Smitha Mary Mathew, Stability Analysis of a Time Varying Population Model Without Migration, Journal of Difference Equations and Applications, 27(10), 2021, 1525-1536.

  • Smitha Mary Mathew and D.S.Dilip, Dynamics of interspecific k species competition model, Journal of Interdisciplinary Mathematics, 25(3), 2022, 629-638. 

  • D.S.Dilip and Tony Philip, Stability and Bifurcation Analysis of Two Spatial Population Dynamics Models, International Journal of Applied and Computational Mathematics, 8, 108(2022).

  • Smitha Mary Mathew and D.S.Dilip, Dynamics of a Second Order Three Species Nonlinear Difference System with Exponents, Proyecciones (Antofagasta, Online), 41(4), 2022, 983-997. 

  • J.Leo Amalraj, M.Maria Susai Manuel,  Dumitru Baleanu and D.S.Dilip, Global Stability, Periodicity, and Bifurcation Analysis of a Difference Equation, AIP Advances, 13, 015116 (2023).

  • Sibi C. Babu, D.S.Dilip and Smitha Mary Mathew, Behavior of Solutions of a Discrete Population Model with Mutualistic Interaction, Computational and Mathematical Biophysics, 12(1), 2024, 20230121.

  • Smitha Mary Mathew, D.S.Dilip and Sibi C.Babu, Stability and Bifurcation in a Second-Order Difference System, Communications on Applied Nonlinear Analysis, 31(5), 2024, 552-561. 

  • Sibi C. Babu and D.S.Dilip, On the Discrete Population Models Without and With the Influence of $(k+1)^{th}$ Previous Generation of Another Species,  International Journal of Applied and Computational Mathematics, 11, 55(2025).

  • Tony  Philip and D.S.Dilip, Stability analysis of a rational system representing the dynamics of a post-reproductive harvest model, Nonlinear Science, 6, 2025, 100101.

  • Tony  Philip and D.S.Dilip, Stability Analysis of a Single Species Fish Population Model with Migration, Biophysical Reviews and Letters, 21(2), 2026, 117 - 130.

 

.