Arun Kumar, Nitu Kumari, Sayan Mandal, Pankaj Kumar Tiwari, Autonomous and non-autonomous dynamics of an SIRS model with convex incidence rate. Accepted, Journal of Franklin Institute, Nov. 2025, https://doi.org/10.1016/j.jfranklin.2025.108236 (I)

R. P. Gupta, Arun Kumar, “Endemic bubble and multiple cusps generated by saturated treatment of an SIR model through Hopf and Bogdanov-Takens bifurcations”, Mathematics and Computers in Simulation (Matcom), (2022) 197; 1-21. https://doi.org/10.1016/j.matcom.2022.01.025 (I.F.-4.4)

R. P. Gupta, Shristi Tiwari, Arun Kumar, “A Comprehensive Study of Bifurcations in an Interactive Population Model with Food-Limited Growth. Differential Equation and Dynamical Systems (2024), 1-24. https://doi.org/10.1007/s12591-023-00672-9 (I.F.-1.24)

R. P. Gupta, Arun Kumar, D. K. Yadav. "The complex dynamical study of a UAI epidemic model in non-spatial and spatial environments." The European Physical Journal Plus139, no. 2 (2024): 117. https://doi.org/10.1140/epjp/s13360-024-04889-7  (I.F.-2.9)

R. P. Gupta, Shristi Tiwari, Arun Kumar, “The study of non-constant steady states and pattern formation for an interacting population model in a spatial environment”, Mathematics and Computers in Simulation (Matcom), 229, 652-672, 2025. (https://doi.org/10.1016/j.matcom.2024.10.022) (I.F.-4.4)

Arun Kumar, Nitu Kumari, Sumit Kumar, Modelling the Spread of Monkeypox in USA with Vertical Transmission and Saturated Treatment, Physica Scripta 100 (7), 2024. https://iopscience.iop.org/article/10.1088/1402-4896/ada3a5/meta (I.F.-2.68)

R. P. Gupta, Arun Kumar, Shristi Tiwari, “A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation”, Mathematics (MDPI journal), 2025, 13, 2404. https://doi.org/10.3390/math13152404  (I.F.-2.78)

Dinesh K. Yadav, R. P. Gupta and Arun Kumar, “Nonlinear Dynamics of a Three Species Prey-Predator System Incorporating Fear Effect and Harvesting”, Journal of Mathematical Control Sciences and Applications, 9(1), pp.13-32, 2023. (ISSN: 0974-0570)

R. P. Gupta, Arun Kumar, (SI10-057) “Effect of Time-delay on an SIR Type Model for Infectious Diseases with Saturated Treatment”. Applications and Applied Mathematics: An International Journal (AAM), 17(3), p.13 (2022). ISSN: 1932-9466.

• Arun Kumar, R. P. Gupta, “Exploring the impact of saturated treatment on spatial patterns via a reduced SIR model analysis”. (Under review in “The European Physical Journal Plus”)

• Sumit Kumar, Nitu Kumari, Arun Kumar, Modeling the Transmission of Monkeypox in USA with Delayed Optimal Control. (First revision in the “International Journal of Modeling and Simulation” is submitted)

• Arun Kumar, Nitu Kumari, Erik M. Bollt, Comprehensive dynamics generated by saturated treatment through a spatio-temporal SIRS model with two pathways of transmission. (Under review in “SIAM Journal on Applied Dynamical Systems”)

• Olumuyiwa James Peter, Nitu Kumari, Arun Kumar, Benjamin Idoko Omede, Oyinlola Patricia Ogunmola, Analysis and Dynamics of Rubella with Control Strategies: A Mathematical Modelling Approach with Real Data from Nigeria. (Under review in “Nonlinear Dynamics”)

• R. P. Gupta, Harinand Singh, Arun Kumar and Nitu Kumari, Hydra effect and bifurcation analysis in predator-prey system with generalist predator. (Ongoing work)

• Arun Kumar, Nitu Kumari, Prey-predator dynamics using the learning function in the Holling type II functional response. (Ongoing work)

• Arun Kumar, Tannu, Forecasting and Seasonal Analysis of Mpox Cases in Africa Using Deep Learning Technique. (Ongoing work)

• Arun Kumar, Subarna Roy, Pankaj Kumar Tiwari, Nitu Kumari, A modified Leslie–Gower model: Analysis of one prey and two competing predator populations. (Ongoing work)

• Anurag Singh, Arun Kumar, Nitu Kumari, Ecological balancing acts in the Yellowstone national park USA. (under review in SIAM Journal of Applied Dynamical Systems)