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), [DOI:10.1007/s40995-024-01656-2.] {Indexing: SCIE}
A. Kumar, K. Goel, and Nilam (2023): Mathematical Modeling of Terrorism Dynamics: Qualitative Analysis and Theoretical Perspective, Mathematical Methods in Applied Sciences. [DOI: http://doi.org/10.1002/mma.9769] {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. [DOI: https://doi.org/10.1088/1751-8121/acf9cf] {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. [DOI: https://doi.org/10.1088/1402-4896/aceb3f] {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. [DOI: https://doi.org/10.1007/s12190-021-01601-1] {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. [DOI: https://doi.org/10.1007/s40304-020-00217-4] {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. [DOI: https://doi.org/10.1007/s40995-020-00960-x] {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. [DOI: https://doi.org/10.1007/s11071-020-05762-9] {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. [DOI: https://doi.org/10.1007/s12064-020-00314-6] {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. [DOI: https://doi.org/10.1007/s10665-020-10037-8]. {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. [DOI: https://doi.org/10.1007/s12064-019-00300-7] {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. [DOI: https://doi.org/10.1515/ijnsns-2018-0208] {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. [DOI: https://doi.org/10.1007/s40314-019-0866-9] {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. [DOI: https://doi.org/10.1007/s10665-019-09989-3] {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. [DOI: https://doi.org/10.1007/s12591-018-0424-8] {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. [DOI: https://doi.org/10.1007/s40324-019-00189-8] {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. [DOI: https://doi.org/10.1142/S021987621850055X] {Indexing: SCIE}