A. Kumar, K. Goel, and Nilam (2025): Mathematical Modeling of Terrorism Dynamics: Qualitative Analysis and Theoretical Perspective,  Mathematical Methods in the Applied Sciences, vol. 48(1), pp. 32-51. {Indexing: SCIE}

A. Kumar, Tanvi, and R. Aggarwal (2024): A novel nonlinear SAZIQHR epidemic transmission model: mathematical modeling, simulation, and optimal control, Physica Scripta, vol. 100(1), pp 015002. {Indexing: SCI} 

A. Kumar, and V. Lonial (2024): Qualitative Study of a Novel Fractional-Order Epidemic Model with Nonmonotone Incidences, Level of Awareness, and Quarantine Class, Iranian Journal of Science (Formerly: Iranian Journal of Science and Technology, Transactions A: Science), vol. 48, pp. 1187-1209. {Indexing: SCIE}

A. Kumar, K. Goel, and Nilam (2023): 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, vol. 56 (41), pp 415601. {Indexing: SCI}

A. Kumar, and K. Goel (2023): Modeling and Analysis of a Fractional-Order Nonlinear Epidemic Model Incorporating the Compartments of Infodemic and Aware Populations, Physica Scripta, vol. 98(9), pp 095224. {Indexing: SCI} 

K. Goel, A. Kumar, and Nilam (2022): 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, vol. 68, pp. 1901-1928. {Indexing: SCIE} 

A. Kumar, and Nilam (2022): Effects of Nonmonotonic Functional Responses on a Disease Transmission Model: Modeling and Simulation, Communications in Mathematics and Statistics, vol. 10, pp. 195-214.  {Indexing: SCIE} 

A. Kumar (2020): Stability of a Fractional-Order Epidemic Model with Nonlinear Incidences and Treatment Rates, Iranian Journal of Science and Technology, Transactions A: Science, vol. 44, pp. 1505-1517. {Indexing: SCIE} 

K. Goel, A. Kumar, Nilam (2020): Nonlinear dynamics of a time-delayed epidemic model with two explicit aware classes, saturated incidences, and treatment, Nonlinear Dynamics, vol. 101, pp. 1693-1715. {Indexing: SCI} 

A. Kumar, M. Kumar, and Nilam (2020): A Study on the Stability Behavior of an Epidemic Model with Ratio-Dependent Incidence and Saturated Treatment, Theory in Biosciences, vol. 139, pp. 225-234. {Indexing: SCI} 

K. Goel, A. Kumar, and Nilam (2020): A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment, Journal of Engineering Mathematics, vol. 121, pp. 19-38. {Indexing: SCI} 

A. Kumar, K. Goel, and Nilam (2020): A Deterministic Time-Delayed SIR Epidemic Model: Mathematical Modeling and Analysis, Theory in Biosciences, vol 139, pp 67-76. {Indexing: SCI} 

A. Kumar, and 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, vol. 20 (7-8), pp. 757-771. {Indexing: SCI} 

A. Kumar, and 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 & Applied Mathematics, vol.  38: 130. {Indexing: SCIE} 

A. Kumar, and 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. {Indexing: SCI} 

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. {Indexing: ESCI, Scopus} 

A. Kumar, Nilam, and R. 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.{Indexing: Scopus} 

A. Kumar, and 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. {Indexing: SCIE}