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Dr. Abhishek Kumar

Assistant Professor, Mathematics


I have earned doctorate degree on the topic entitled “Mathematical Modeling in Epidemiology” from Delhi Technological University in 2019. I did masters degree in Applied Mathematics from Indian Institute of Technology Roorkee in 2013. I have published many research papers in reputed international journals. I am associated with Sharda University as an Assistant professor since January 2020.

  • 1 Month
  • Ph.D.
Award & Recognition

Reviewer of the following international journals:

  • International Journal of Biomathematics (World Scientific).
  • Letters in Biomathematics (Taylor & Francis).


  • K. Goel, A. Kumar and Nilam (2020): A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment, Journal of Engineering Mathematics. (In Press). Publisher: Springer; Indexing: SCI & SCIE; Impact Factor: 1.146.
  • A. Kumar, K. Goel and Nilam (2019): A Deterministic Time-Delayed SIR Epidemic Model: Mathematical Modeling and Analysis, Theory in Biosciences, DOI: 10.1007/s12064-019-00300-7. Publisher: Springer; Indexing: SCI & SCIE; Impact Factor: 0.676.
  • A. Kumar, Nilam (2019): Dynamic behavior of a SIR epidemic model along with Time delay; Crowley-Martin type incidence rate and Holling type II treatment rate, International Journal of Nonlinear Sciences and Numerical Simulation, DOI: Publisher: DeGruyter; Indexing: SCIE; Impact Factor: 1.033.
  • A. Kumar, Nilam (2019): Stability of a delayed SIR epidemic model by introducing two explicit treatment classes along with nonlinear incidence rate and Holling type treatment, Computational and Applied Mathematics, vol. 38: 130. Publisher: Springer; Indexing: SCIE; Impact Factor: 1.260.
  • A. Kumar, Nilam (2019), Mathematical Analysis of a Delayed Epidemic Model with Nonlinear Incidence and Treatment Rates, Journal of Engineering Mathematics, vol. 115(1), pp. 1-20. Publisher: Springer; Indexing: SCI & SCIE; Impact Factor: 1.146.
  • A. Kumar, Nilam (2019), Dynamical Model of Epidemic Along with Time Delay; Holling Type II Incidence Rate and Monod–Haldane Type Treatment Rate, Differential Equations and Dynamical Systems, vol. 27 (1-3), pp: 299-312. Publisher: Springer. Indexing: ESCI & Scopus.
  • A. Kumar, Nilam, Raj Kishor (2019): A Short Study of an SIR Model with Inclusion of an Alert Class, Two explicit Nonlinear Incidence Rates and Saturated Treatment Rate, SeMA Journal, vol. 76(3), pp. 505-519. Publisher: Springer.
  • A. Kumar, Nilam (2018): Stability of a Time Delayed SIR epidemic Model Along with Nonlinear Incidence Rate and Holling Type-II Treatment Rate, International Journal of Computational Methods, vol. 15 (6), pp. 1850055. Publisher: World Scientific; Indexing: SCIE; Impact Factor: 1.221


  • CSIR-UGC-NET June 2016

Area of Interest

  • Infectious Diseases modeling, Nonlinear Dynamics and Stability Analysis.