PROFILE

PREVIOUS POSITIONS/ EXPERIENCE

  1. 1st Feb 2023- Till date – Associate Professor, Delhi Technological University , Delhi
  2. 1st Feb 2011- 31st Jan 2023 – Assistant Professor, Delhi Technological University , Delhi
  3. Feb 09 – Jan 11 – Reader, Department of Mathematics, Maharaja Surajmal Institute of Technology (MSIT), I.P. University, Delhi-110058
  4. Oct 06 – Feb 09 – Lecturer, Department of Mathematics, Maharaja Surajmal Institute of Technology (MSIT), I.P. University, Delhi-110058
  5. Oct 04 - Oct 06 – Lecturer, Mathematics Group, Birla Institute of Technology and Science, Pilani, Rajasthan.
  6. Aug 04 – Sep 04 – Ad-hoc lecturer, I. I. T. Roorkee.

TEACHING (COURSES TAUGHT)

Undergraduate: 

  • Mathematics - I 
  • Mathematics - II
  • Differential Equations
  • Scientific Computing
  • Mathematical Modeling and Simulations
  • Operations Research

Post Graduate

  • Differential Equations
  • Numerical Analysis
  • Mathematical Modeling and Simulations

MEMBERSHIPS

  • Life Member of Indian Science Congress ((Membership No. L16814)
  • Member of SIAM (Membership No. 020041924)

PUBLICATIONS

Journals:

  1. Abhay Srivastava,Nilam Analysis of a fractional order SIR model for infectious disease spread by household waste with optimal control strategies, accepted for publication in Optimal Control Applications and Methods, 2025, I.F. 1.5, Wiley.
  2. Vijay Yadav, Nilam, “Comparison of machine learning techniques for precision in measurement of glucose level in artificial pancreas,” Mathematical Methods in the Applied Sciences, 48(7), 7595-7608, 2025, I.F. 2.9,Wiley, https://doi.org/10.1002/mma.9216
  3. Abhishek Kumar, Kanica Goel, Nilam, “Mathematical modelling of terrorism dynamics: Qualitative analysis and theoretical perspective,” Mathematical Methods in the Applied Sciences, 48(1), 32-51, 2025, I.F. 2.9,Wiley, https://doi.org/10.1002/mma.9769
  4. Abhay Srivastava, Nilam, Stability Analysis and Quantification of effects of partial and full vaccination using fractional order SVIR model, Mathematical Medicine and Biology: A Journal of the IMA, 42(3), 331-358, 2025, I.F. 1.5, Oxford Academic, https://doi.org/10.1093/imammb/dqaf007.
  5. Swati, Nilam Fractional order model using Caputo fractional derivative to analyse the effects of social media on mental health during Covid-19, Alexandria Engineering Journal, 92, 336-345, 2024 (08-03-2024), 1110-0168, I.F. 6.8, Elsevier, https://doi.org/10.1016/j.aej.2024.02.049.
  6. Abhay Srivastava, Nilam , Optimal control of a fractional order SEIQR epidemic model with non-monotonic incidence and quarantine class, Computers in Biology and Medicine, 178, 108682 (16pp), 2024 (01-06-2024), 1879-0534, I.F. 7, Elsevier,https://doi.org/10.1016/j.compbiomed.2024.108682.
  7. Abhishek Kumar, Kanica Goel, Nilam, Dynamics of a Nonlinear Epidemic Transmission Model Incorporating a Class of Hospitalized Individuals: A Qualitative Analysis and Simulation, Journal of Physics A: Mathematical and Theoretical, 56, 415601 (21pp), 2023 (27/09/2023), 1751-8121, IF. 2.1, IOP, doi: 10.1088/1751-8121/acf9cf.
  8. Anil Kumar, Nilam, “A fractional order epidemic model with quarantine class and non monotonic incidence: modeling and simulations” Iranian Journal of Science and Technology, Transaction A: Science, 2022, Springer, I.F.: 1.553,  https://doi.org/10.1007/s40995-022-01339-w.
  9. Kanica Goel, Nilam, “A nonlinear SAIR epidemic model: Effect of awareness class, nonlinear incidences, saturated treatment and time delay”, Ricerche di Matematica, 2022, Springer, https://doi.org/10.1007/s11587-022-00720-6,  I.F.: 1.166.
  10. Swati, Nilam, “Fractional order SIR epidemic model with Beddington–De Angelis incidence and Holling type II treatment rate for COVID-19”, Journal of Applied Mathematics and Computing, 2022, DOI: 10.1007/s12190-021-01658-y, Springer, I.F.: 1.686.
  11. Ankit Sharma, Nilam, H.P. Singh, Computer-controlled diabetes disease diagnosis technique based on fuzzy inference structure for insulin-dependent patients”, Applied Intelligence, 2022, DOI:10.1007/s10489-022-03416-4, Springer, I.F.: 5.019.
  12. Ankit Sharma, H.P. Singh, Nilam, “A methodical survey of mathematical model-based control techniques based on open and closed loop control approach for diabetes management”, International Journal of Biomathematics, 2022, DOI: https://doi.org/10.1142/S1793524522500516, World Scientific, I.F.: 2.129.
  13. Vijay yadav, Nilam, “Risk estimation of gestational diabetes and diabetes mellitus of type -2 because of PCOD through Mathematical and Artificial Intelligence models”, Journal of Engg. Research ICCEMME Special Issue, 2021 DOI: 10.36909/jer.ICCEMME.15553
  14. Kanica Goel, Abhishek Kumar, Nilam, “Stability analysis of a logistic growth epidemic model with two explicit time-delays, the nonlinear incidence and treatment rates”, Journal of Applied Mathematics and Computing, 2021, https://doi.org/10.1007/s12190-021-01601-1, Springer, I.F.: 1.686.
  15. Abhishek Kumar, Nilam, “Effects of nonmonotonic functional responses on a disease transmission model: Modeling and Simulation”, Communications in Mathematics and Statistics, 2022, DOI: https://doi.org/10.1007/s40304-020-00217-4, Springer, I.F.: 0.868.
  16. Kanica Goel, Abhishek Kumar, Nilam, “Nonlinear dynamics of a time-delayed epidemic model with two explicit aware classes, saturated incidences, and treatment”, Nonlinear Dynamics, 2020, DOI: https://doi.org/10.1007/s11071-020-05762-9, Springer, I.F.: 5.030.
  17. Kanica Goel, Nilam “Stability behavior of a nonlinear mathematical epidemic transmission model with time delay” in Nonlinear Dynamics, 2019. DOI: https://doi.org/10.1007/s11071-019-05276-z, Springer, I.F.: 5.030.
  18. Abhishek Kumar, Kanica Goel, Nilam “A Deterministic Time-Delayed SIR Epidemic Model: Mathematical Modeling and Analysis” in Theory in Biosciences, 2019. DOI: https://doi.org/10.1007/s12064-019-00300-7, Springer, I.F.: 1.55.
  19. Abhishek Kumar, Nilam “Dynamic behavior of a SIR epidemic model along with Time delay; Crowley-Martin type incidence rate and Holling type II treatment rate” in International Journal of Nonlinear Sciences and Numerical Simulation, 2019. DOI: https://doi.org/10.1515/ijnsns-2018-0208, Walter de Gruyter, I.F.: 1.033.
  20. Abhishek Kumar, Nilam “Stability of a delayed SIR epidemic model by introducing two explicit treatment classes along with nonlinear incidence rate and Holling type treatment” in Computational & Applied Mathematics, 2019. DOI:  https://doi.org/10.1007/s40314-019-0866-9, Springer, I.F.: 1.260.
  21. Abhishek Kumar, Nilam, Raj Kishor “A Short Study of an SIR Model with Inclusion of an Alert Class, Two explicit Nonlinear Incidence Rates and Saturated Treatment Rate” in SeMA Journal, 2019. DOI:  https://doi.org/10.1007/s40324-019-00189-8 , Springer.
  22. Abhishek Kumar, Nilam “Mathematical Analysis of a Delayed Epidemic Model with Nonlinear Incidence and Treatment Rates” in Journal of Engineering Mathematics, 2019. DOI:  https://doi.org/10.1007/s10665-019-09989-3, Springer, I.F.: 1.146.
  23. Kanica Goel, Nilam, “A mathematical and numerical study of a SIR epidemic model with time delay, nonlinear incidence and treatment rates” in Theory in Biosciences 2019. DOI:  https://doi.org/10.1007/s12064-019-00275-5, Springer, I.F.: 1.55.
  24. Abhishek Kumar, Nilam “Dynamical Model of Epidemic Along with Time Delay; Holling Type II Incidence Rate and Monod–Haldane Type Treatment Rate” in Differential Equations and Dynamical Systems Vol. 27 (1-3), 2019, Springer) [Indexing: ESCI & Scopus]
  25. Abhishek Kumar, Nilam “Stability of a Time Delayed SIR epidemic Model Along with Nonlinear Incidence Rate and Holling Type-II Treatment Rate” in International Journal of Computational Methods Vol. 15 (6), 2018. (World Scientific) [Indexing: SCIE; Impact Factor: 1.221]
  26. Saloni Rathee, Nilam, “Dynamics and control of glucose – insulin regulatory systems in diabetics using Vitamin D”, Accepted for publication in Mathematics in Computer Science, Springer.
  27. Saloni Rathee, Nilam, " ODE models for the management of diabetes: A review”, International Journal of Diabetes in Developing Countries 2017. DOI: https://doi.org/10.1007/s13410-016-0475-8 (Springer) [Indexing: SCIE; Impact Factor: 0.585]
  28. Saloni Rathee, Nilam, “Dynamical System for Glucose - Insulin Space in Different Organs of Diabetics”, Communications in Mathematical Biology and Neuroscience (U.K.), 2016. [Indexing ESCI & Scopus]
  29. Saloni Rathee, Nilam, “Study of the Effects of FFA and Obesity on Diabetes Through Numerical Simulation of the Mathematical Model”, Journal of Mathematics & System (China), 2015, Vol. 5, Page no: 252-261, DOI: 10.17265/2159-5291/2015.06.004.
  30. Saloni Rathee, Nilam, “Quantitative analysis of time delays of glucose – insulin dynamics using artificial pancreas”, Discrete and Continuous Dynamical System-Series B, Vol. 20, 3115-3129, (2015) (AIMS) [Indexing: SCI; Impact factor: 1.008]
  31. Nilam, Ruchi Mathur, M.E. Alexander, P.N. Shivakumar, S. M. Moghadas, “Modelling the effects of CSII on the control of glucose concentration in Type 1 Diabetes”, Applied Mathematics and Computation 187 (2007) 1476–1483 (Elsevier) [Indexing: SCI; Impact Factor: 3.092].
  32. Nilam and Aditi Sangal, “Dietary Carbohydrates and Glycemic Index: A Systematic Review”, Book: New Developments in Nutrition Research, Editors: Patricia D. Flaps, Nova Science Pub. USA, pp. 99-115, ISBN: 1-60021-142-9, 2006.
  33. Katiyar, V. K. and Nilam, “Investigation of blood flow disturbances in the presence of arterial constriction with a reference to microcytic anemia”, International Journal of Applied Sciences & Computations, U. S. A., 9(3), 2002, 128 – 141, ISSN 1089-0025.
  34. Katiyar, V. K., Basavarajappa, K. S. and Nilam, “Analysis of physiological effects due to traffic noise in reference to health care”, Journal of Natural and Physical Sciences, 16 (1-2), 2002, 29 – 38.
  35. Katiyar, V. K. and Nilam, “Regulation of blood glucose level in diabetes mellitus using palatable diet composition”, Australasian Physical and Engineering Sciences in Medicine, 26(3), 2003, 132 -139 ,(Springer)[Indexing: SCIE; Impact factor: 1.000].

?CONFERENCES:

1. Katiyar, V. K., Mittel, P. and Nilam, “Flow behavior of blood type suspension in the entrance region of constricted tube”, 2nd international and 29th National Conference on Fluid mechanics & Fluid Power, Dec. 12 –14, 2002 held at I.I.T. Roorkee, 963.

2. Katiyar, V. K., Mittel, P. and Nilam, “Pulsatile flow of blood type suspension in axisymmetric constriction”, 2nd international and 29th National Conference on Fluid mechanics & Fluid Power, Dec. 12 –14, 2002 held at I.I.T. Roorkee.

3. Katiyar, V. K. and Nilam, “Mathematical Modeling for the palatable diet composition of quantitative diet in diabetes mellitus”, Presented in the International Conference & Instructional Workshop on Industrial Mathematics (ICIWIM – 2002) held at I.I.T. Mumbai, Dec. 7-9, 2002.

4. Nilam and Katiyar, V. K. : A study of flow dynamics of red blood cells in fine vascular capillaries”, International conference on Mathematical Biology, Feb. 19 – 21, 2004 held at Indian Institute of Technology, Kanpur, India.

5. Katiyar, V. K. and Nilam, “Effects of noise on the cardiovascular system: A mathematical study”, International conference on Mathematical Biology, Feb. 19 – 21, 2004 held at Indian Institute of Technology, Kanpur, India.

6. Presented paper entitled “Mathematical Modeling and Diabetes” in Indo – German Workshop on Mass Health Care and Infrastructure Support, February 11- 12, 2005.

7. Nilam, Manoj Kumar, “Analytical and Numerical Analysis of Countercurrent Exchange Mechanism in Renal Vasa Recta System” Presented in International Conference on Recent Advances in Mathematical Sciences and Application held at Calcutta Mathematical Society, Kolkata, Dec 9-11, 2011.

8. Saloni Rathee, Nilam, “Application of I-HDMR in glucose – insulin dynamics” Published in “International Conference on Mathematical Sciences-2014”, held in Chennai, July 17-19 2014, ISBN-978-93-5107-261-4.

9. Saloni Rathee, Nilam , “Maintenance of glucose level in diabetes using vitamin d : A mathematical model” Presented in “International Congress of Mathematicians (ICM-2014)”, held during 13-21 August, 2014 in Seoul, Korea.

10. Presented a paper entitled “A nonlinear model with ratio-dependent incidence rate and Nonlinear treatment rate to control the H1N1” in ICRAPAM 2018, organized by DTU Delhi during October 23-25, 2018.

11. Presented a paper entitled “Role of controller algorithm in management of diabetes” in ICRAPAM 2018, organized by DTU Delhi during October 23-25, 2018.

BOOKS/BOOK CHAPTERS (IF ANY)

  1. Nilam, Cause and Control Strategy for Infectious Diseases with Nonlinear Incidence and Treatment Rate, Mathematical Modelling and Analysis of Infectious Diseases, 978-3-030-49896-2, Springer Cham, 2020, 61-81, 10.1007/978-3-030-49896-2_3.
  2. Ankit Sharma, H. P. Singh, Nilam, Physical Exercise: Effective Aspect in Diabetes Management, Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy, 978-981-19-9906-2, Springer Singapore, 2023, 10.1007/978-981-19-9906-2_22. 
  3. Nilam and Aditi Sangal, “Dietary Carbohydrates and Glycemic Index: A Systematic Review”, Book: New Developments in Nutrition Research, Editors: Patricia D. Flaps, Nova Science Pub. USA, pp. 99-115, ISBN: 1-60021-142-9, 2006.

PATENTS (IF ANY)

HONOURS AND AWARDS (IF ANY)

  1. Cleared National Eligibility Test for Lectureship conducted jointly by Council of Scientific & Industrial Research (July 2001) and University Grant Commission.
  2. Cleared National Eligibility Test for Junior Research Fellow conducted jointly by Council of Scientific & Industrial Research (Dec 2001) and University Grant Commission.
  3. Awarded National Level Direct Senior Research Fellowship from the Council of Scientific & Industrial Research (2002).
  4. Commendable Research Excellence Award (2020) by DTU for publishing 3 research papers in high impact factor journal in year 2019.
  5. Commendable Research Excellence Award (2021) by DTU for publishing 4 research papers in high impact factor journal in year 2020.
  6. Commendable Research Excellence Award (2023) by DTU for publishing 4 research papers in high impact factor journal in year 2022.
  7. Commendable Research Excellence Award (2024) by DTU for publishing 4 research papers in high impact factor journal in year 2023.
  8. Commendable Research Excellence Award (2025) by DTU for publishing 3 research papers in high impact factor journal in year 2024.

SPONSORED/CONSULTANCY PROJECTS

START-UPS (IF ANY)

MOOC COURSES DEVELOPED (IF ANY)

PROFESSIONAL DEVELOPMENT

ADVISEES

Doctorate Students:

  • Dr. Saloni Rathee (Degree Awarded)
  • Dr. Abhishek Kumar (Degree Awarded)
  • Dr. Kanica Goel (Degree Awarded)
  • Dr. Vijay Yadav(Degree Awarded)
  • Dr. Ankit Sharma (Degree Awarded)
  • Dr. Swati (Degree Awarded)
  • Mr. Anil Kumar
  • Mr Abhay Srivastava (Submitted)
  • Mr. Sunil Kumar Meena
  • Ms. Priya Yadav
  • Ms. Nishu Mittal

ANY OTHER INFORMATION

INVITED TALKS

  1. Delivered invited talk on “Modeling and Simulation using Fractional order differential equations” National Conference on Building Smart Machines with Maths (NCBSMM- 25), organized by Department of Mathematics, University College of Engineering, BIT Campus, Anna University, 21st Nov 2025.
  2. Delivered invited talk on “Real life applications of Mathematics” , Annual Seminar AAYAM of Motilal Nehru College, University of Delhi, Department of Mathematics, Motilal Nehru College, University of Delhi, 21st October 2024.
  3. Delivered invited talk on “Stability analysis of a fractional order SVIR model and role of partial and full vaccination on epidemic dynamics” International Conference on Mathematical Sciences and its applications, Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, University of Delhi, 15-17 October 2024, International.
  4. Delivered invited talk as Resource person on “Python Programming And Its Applications”, National Workshop On Python Programming And Its Applications, September 18-20, 2024 Under DBT Star Scheme by Deen Dayal Upadhayay College, University of Delhi,18-20 September 2024, National.
  5. Delivered invited talk on “Monte Carlo simulating deterministic and Probabilistic behaviour, Generating random numbers” Five Days National Workshop On Mathematical Modelling And Simulation, Shri Guru Nanak Dev Khalsa College, University of Delhi, 13-17 Feb 2024, National.
  6. Delivered invited talk on “Importance of Fractional differential equations on infectious diseases 3-Days National Seminar on Recent Advancement of Mathematics, Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, 22-24 January 2024, National.
  7. Delivered invited talk on “Management of Literature using Mendeley”, One day research orientation Program, Department of Applied mathematics, Delhi Technological University, July 30, 2021, National.
  8. Delivered invited talk on “Application of Mathematics in providing solution to real world problems”, National webinar on Role of Mathematics in Real world problems, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India May 1-2, 2021, National.
  9. Delivered invited talk on “Application of Mathematics in real world problems", AICTE - ISTE Sponsored One Week Virtual Refresher Programme on Applied Mathematics Phase II , M.Kumarasamy College of Engineering, Karur, Apr19-24, 2021National.
  10. Delivered invited talk on “Effective Usage Of ICT Tools In Teaching Of Mathematics And Research", One-week AICTE-ISTE sponsored Online Induction/Refresher Programme on “Use of ICT in Engineering Education ”Slot-3 " Maharaja Surajmal of Technology, New Delhi., Apr 7-14, 2021, National.
  11.  
  12. Delivered invited talk on “Introduction to Mathematical Modeling” Two weeks Refresher course in Mathematics TLC, Ramanujan College, University of Delhi, Mar 16-30, 2021, National.
  13. Delivered invited talk on “Use of ICT tools in teaching Mathematics and Research” on 01.03.2021 in AICTE -ISTE sponsored one week online induction/Refresher Programme on Use of ICT in Engineering Education organized by Department of ECE, Maharaja Surajmal Institute of Technology, Delhi from 24th Feb - 2nd March 2021.
  14. Delivered invited talk on “Causes and control of Infectious Diseases through Mathematical Models” on 21.07.2020 in Three days National Webinar Series organized by Department of Mathematics, Bapuji Institute of Engineering and Technology (BIET) Davangere, Karnataka.
  15. Delivered a talk on “Mathematical modelling approach to cause and control strategy for infectious disease” in Webinar entitled “Mathematical Modeling and its real world applications” organized by Department of Mathematics and IQAC of Hooghly Women’s College, West Bengal on 8th September 2020.
  16. Delivered a talk on “Modeling of Delay Differential equations using MATHEMATICA” in VYUTPATTI-2019, organized by Sharda University during April 9-13, 2019.
  17. Delivered a lecture on “Mathematical modeling of an epidemic with nonlinear functional type incidence and treatment” in 4th International Conference on Recent Developments in Theory, Computation & Application of Differential Equation to Celebrate the 70th Birthday of Prof. MK Kadalbajoo held at SAU Delhi during January 21-23, 2019.
  18. Worked as resource person in Six days’ Workshop on numerical methods and its applications in various allied fields of sciences with MATHEMATICA organized by Department of Applied Mathematics & Department of Electronics, DDU College (University of Delhi) during September 17-22, 2018.
  19. Delivered a talk on “Importance of Mathematics” in inspire internship camp-2016 of D. S. T. organized by Lal Bahadur Singh Smark Mahavidyalaya, Gohawar, Bijnor (U. P.) on July 28, 2017.
  20. Delivered a talk on “Mathematical Modelling and Simulation” Current Scenario and Future Perspective” on 9th Januray 2017 in Star College Scheme, DBT organized by Atma Ram sanatan Dharma College, University of Delhi,
  21. Worked as an expert in a one day workshop on “Curriculum Revision & Development-2016”, organized by Department of Applied Mathematics, DTU on April 22, 2016.
  22. Delivered a talk on “Quantitative Modeling and Simulation using MATHEMATICA” in the National workshop on mathematical modeling and computational techniques using MATHEMATICA held at Zakir Husain Delhi College (University of Delhi), Delhi during March 30-31, 2017.
  23. Delivered a talk on “Role of Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs), Delay Differential Equations (DDEs) and Fractional Order Differential Equations in epidemics” in international conference on Current Trends in Theoretical and Computational Differential Equations with Applications held  at SAU Delhi during December 01-05, 2017.
  24. Delivered a talk on “Introduction to MATHEMATICA” in Wolfram Technology Conference, New Delhi during May 01-02, 2017.
  25. Delivered a talk on "Mathematical model for palatable diet composition in type 2 Diabetes" at the Institute of Bio diagnostics (National Research Council) Winnipeg, Canada on 2 July 2004.
  26. Visited Department of Mathematics, University of Manitoba, Winnipeg, Canada as a Research Associates from 20th June'04 to 31st July'04.
  27. Visited Department of Mathematics, Seoul National University, Korea from 20-29 February 2012 for research collaboration with no financial burden on Delhi Technological university.
  28. Delivered a talk on “Mathematical modeling of diabetes” at Department of Mathematics, Seoul National University, Korea on 22 Feb, 2012.
  29. Delivered a talk on “Mathematical modeling and diabetes” at Department of Biology, University of Winnipeg, Canada on 23 Nov 2014.
  30. Visited Department of Mathematics, University of Manitoba, Winnipeg, Canada as an Invited Fellow from 5th Nov’ 2014 to 30th Nov.’ 2014.