Publications

Preprint

[1] M. Verma, M. Kumar, Generalization Bound for a General Class of Neural Ordinary Differential Equations, 2025, arXiv preprint arXiv:2508.18920v1.

Journal Publications

[1] A. Rajnarayanan, M. Kumar, A. Tridane, Analysis of a mathematical model for malaria using data-driven approach, 2025, Scientific Reports, 15(2025), 27272.

[2]  M. Kumar, S Dhama, FA Alqarni, S Abbas, KA Aldwoah, Mathematical analysis and optimal control of age-structured social interaction model with law enforcement, Math. Methods Appl. Sci., 48(2025), 3712-3725.

[3]  M. Kumar, S. Abbas,  Modelling and prevention of crime using age-structure and law enforcement, J. Math. Anal. Appl., 519 (2023), 126849.

[4]  M. Kumar, S. Abbas, A Tridane, Optimal control and stability analysis of an age-structured SEIRV model with imperfect vaccination, Math. Biosci. Eng., 20(2023), 14438-14463.

[5]  M. Kumar, S. Abbas, Stability and optimal control of age-structured cell-free and cell-to-cell transmission model of HIV, Math. Methods Appl. Sci., 46(2023), 18336-18353.

[6]  M. Kumar, S. Abbas, Diffusive size-structured population model with time-varying diffusion rate, Discrete Contin. Dyn. Syst. Ser. B, 28 (2023), 1414-1435.

[7]  M. Kumar, S. Abbas, R. Sakthivel, Analysis of Diffusive Size-Structured Population Model and Optimal Birth Control, Evol. Equ. Control Theory, 12 (2023), 423-445.

[8]  M. Kumar, S. Abbas, Age-Structured SIR Model for the Spread of Infectious Diseases Through Indirect Contacts. Mediterr. J. Math. 19 (2022), 1-14.

[9]  M. Kumar, S. Abbas, Global Dynamics of an Age-Structured Model for HIV Viral Dynamics with Latently Infected T Cells, Math. Comput. Simulation. 198(2022), 237-252.

[10]  M. Kumar, S. Abbas, Analysis of steady-state solutions to an age-structured SEQIR model with optimal vaccination, Math. Methods Appl. Sci., 45 (2022), 10718-10735.

[11]  M. Kumar, S. Abbas, Analysis of Diffusive Size-Structured Population Model with Stochastic Perturbation, Differential Integral Equations. 35(2022), 641-658.

[12]  M. Kumar, S. Abbas, A Tridane, A novel method for basic reproduction ratio of a diffusive size-structured population model with delay, Nonlinear Dynamics, 109 (2022) 3189-3198.

Conference and Workshop Publications

[1] M. Kumar and Ali Hamad Bakar, Inventory Management Using Physics-Informed Machine Learning, in Proceedings of the IEEE 15th International Conference on Intelligent Systems: Theories and Applications (SITA 2025). 

[2] Patrick Vincent and Manoj Kumar, Accelerated MRI Reconstruction: Evaluating Physics-Informed Sampling Against Learning-Based Methods, in Proceedings of the IEEE 15th International Conference on Intelligent Systems: Theories and Applications (SITA 2025). 

[3] G. Sarma, V. Srivastava, M. Kumar, Small but mighty: unlocking financial sentiment analysis with compact language models, ICLR 2025 Workshop on Advances in Financial AI.

[4]  M. Kumar, S. Abbas, Optimal Birth Control of Population Dynamics With Time-Varying Diffusivity Coefficient. Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, 2022.