Operations Research, Queueing Theory
CSIR NET-JRF
A. Choudhary, S. R. Chakravarthy and D. C. Sharma. "Impact of the degradation in service rate in MAP/PH/1 queueing system with phase type vacations, breakdowns, and repairs", Annals of Operations Research, 2023, 1-42.
N. Mahla, A. Choudhary and D. C. Sharma, "Study of two heterogeneous servers with service feedback, vacation, and particular service interruption," Int. J. Mathematics in Operational Research, 2023 26(2), 231-249.
A. Choudhary, N. Mahla and D. C. Sharma, "Cost optimization of the queueing system with degrading service rate, Bernoulli vacation, and a regular vacation after fixed services," Int. J. Applied and Computational Mathematics, 2022, 8(3), 1-24.
A. Choudhary and D. C. Sharma, "Analysis of a Markovian queue model with unreliable service station and a vacation after fixed services," Int. J. Mathematics in Operational Research, 2022, 21(3), 411-428.
A. Choudhary, S. R. Chakravarthy, D. C. Sharma, "Analysis of MAP/PH/1 Queueing System with Degrading Service Rate and Phase Type Vacation," Mathematics, 2021, 9(19), 23-87.
Algebra, Rings and modules.
Secured 1st rank in M.Sc. Mathematics at Guru Jambheshwar University of Science & Technology, Hisar, 2015,
Awarded Innovation in Science Pursuit for Inspired Research (INSPIRE) Fellowship, DST, New Delhi, Government of India, 2017,
Received best paper award from department of mathematics, National Institute of Technology (NIT), Raipur, 2020,
P. Kumari, D. Kumar, H. Ramos. Parameter independent scheme for singularly perturbed problems including a boundary turning point of multiplicity ≥ 1, J. App. Anal. Comp., 2023, 13(3): 1304-1320. doi: 10.11948/20220123
D. Kumar, P. Kumari, A parameter-uniform scheme for singularly perturbed partial differential equations with a time lag, Numer. Methods Partial Differential Equations, 2020, 36(4),: 868-886. doi: https://doi.org/10.1002/num.22455
D. Kumar, P. Kumari, Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay, Appl. Numer. Math., 2020, 153, 412-429. doi: https://doi.org/10.1016/j.apnum.2020.02.021
D. Kumar, P. Kumari, Uniformly convergent scheme for two-parameter singularly perturbed problems with non-smooth data, Numer. Methods Partial Differential Equations, 2021, 37(1),796-817. doi: https://doi.org/10.1002/num.22553
D. Kumar, P. Kumari, A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay, J. Appl. Math. Comp.,2019, 59, 179-206. doi: https://doi.org/10.1007/s12190-018-1174-z
FiniteElement Methods, Numerics of Partial Differential Equtions
Member of Editorial team of the department's newletter
Riya Jain, A.K. Pani, Sangita Yadav, HDG method for linear parabolic integro-differential equation, Applied Mathematics and Computation (AMC), Elsevier (SCI Q1, IF: 4.397) (2023).
Mathematical Biology, Mathematical Modelling, Dynamical Systems
Institute of Mathematical Statistics (IMS)CSIR-UGC-2019, NET with JRF AIR-84;
GATE-2018, (Graduate Aptitude Test in Engineering); MP SET-2018, Madhya Pradesh State Eligibility Test;
Institute of Mathematical Statistics (IMS)
Vijay Shankar Sharma, Anuraj Singh, Pradeep Malik "Bifurcation Patterns in a Discrete Predator-Prey Model Incorporating Ratio-Dependent Functional Response and Prey Harvesting",Qualitative Theory of Dynamical Systems (QTDS), Vol, 23(2), (2024). https://doi.org/10.1007/s12346-023-00929-2
Vijay Shankar Sharma, Anuraj Singh, "Strong resonance bifurcations and state feedback control in a discrete prey-predator model with harvesting effect", Qualitative Theory of Dynamical Systems (QTDS), 22(3), p.109, (2023), https://DOI:10.1007/s12346-023-00805-z
Vijay Shankar Sharma, Anuraj Singh, A. Elsadany and Amr Elsonbaty,"Codimension-one and -two bifurcation analysis of a discrete-time prey-predator model", International Journal of Dynamics and Control (IJDC), Vol. 11, pages 2691-2705, (2023), https://doi.org/10.1007/s40435-023-01177-7
Anuraj Singh,Vijay Shankar Sharma,"Bifurcations and chaos control in a discrete-time prey-predator model with holling type-II functional response and prey refuge", Journal of Computational and Applied Mathematics, Vol. 418 p. 114666, (2022) https://doi.org/10.1016/j.cam.2022.114666
Anuraj Singh,Vijay Shankar Sharma,"Codimension-2 bifurcation in a discrete predator-prey system with constant yield predator harvesting", International Journal of Biomathematics Vol. 16(05), 2250109 (2023), https://doi.org/10.1142/S1793524522501091
Artificial Intelligence, Machine Learning , Soft Computing,
DSW Neucleous Member
Editor of Departmental news Letter
Machine Learning, Deep Learning, Multispectral and Hyperspectral Image Analysis