faculty-profile

Dr. Dipesh

info

Assistant Professor

Mathematics

Lovely Professional University

5

Delay Differential Equation, Allelopathic Effect, Toxic Effect, GDP-National Debt

Mathematical Modeling, Nonlinear Dynamics

Mail: dipesh@sru.edu.in

Educational
Qualifications
(From Highest)

2022

Ph.D in Applied Mathematics from Lovely Professional University, Punjab

2017

M.Sc. in Mathematics from Indira Gandhi University, Meerpur, Rewari, Haryana

2015

B.Sc. (NM) from M.D.U. Rohtak, Haryana

Professional
Experience

2024

Assistant Professor at SR University, from 2024-08-22 to Till Date.

2023

Postdoctoral at Harran University , from 2023-06-01 to 2024-07-31.

2022

Assistant Professor at Lovely Professional University , from 2022-11-22 to 2024-07-27.

Student
Supervision

5

Ph.D

Key Publications

Kumar, P., & Dipesh. (2022). Effect of time delay on dynamic of plant competition under allelopathy. Mathematical Methods in the Applied Sciences, 45(16), 9308-9321.

Dipesh, D., & Kumar, P. (2022, March). Modelling the stimulatory and inhibitory allelopathic effects on competing plant populations. In AIP Conference Proceedings (Vol. 2435, No. 1). AIP Publishing.

Dipesh, & Kumar, Pankaj (2022). Role of delay on two competing plant populations under the allelopathic effect. In Bhagwati Prasad Chamola, Pato Kumari & Lakhveer Kaur (eds.), Emerging advancements in mathematical sciences. New York: Nova Science Publishers.

Dipesh, & Kumar, P. (2022, May). Effect of time-lag on two mutually competing plant populations under allelochemicals. In Journal of Physics: Conference Series (Vol. 2267, No. 1, p. 012019). IOP Publishing.

Dipesh, & Kumar, P. (2023). Delay differential equation model of forest biomass and competition between wood?based industries and synthetic?based industries. Mathematical Methods in the Applied Sciences, 46(9), 10602-10616.

Dipesh, Kumar, P., & Cattani, C. (2023). Optimizing industrial growth through alternative forest biomass resources: A mathematical model using DDE. International Journal of Mathematics and Computer in Engineering.

Sharma, A., & Dipesh. (2023, March). Enhanced Structural and Optical Properties of Pr3+ Substituted Gadolinium Garnet Ferrite for Optical Devices Application. In International Conference on Advanced Functional Materials and Devices (pp. 183-192). Singapore: Springer Nature Singapore.

Dipesh, & Kumar, P. (2022, January). Sensitivity and Directional Analysis of Two Mutually Competing Plant Population Under Allelopathy Using DDE. In International Conference on Mathematics and Computing (pp. 605-620). Singapore: Springer Nature Singapore.

Dipesh & Kumar, P. (2023). Investigating the impact of toxicity on plant growth dynamics through the zero of a fifth-degree exponential polynomial: A mathematical model using DDE. Chaos, Solitons & Fractals, 171, 113457.

Sharma, A., Dipesh, Mahajan, H., Aggarwal, N., Sinha, S., & Srivastava, A. K. (2023). Enhancing high frequency magneto-dielectric performance with exchange-coupled garnet/spinel ferrite (Y3Fe5O12/Mg0. 4Cd0. 4Co0. 2Fe2O4) composites. Nano-Structures & Nano-Objects, 36, 101035.

Qiliang Chen, Dipesh, Kumar, P., & Baskonus, H. M. Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator.

Sharma, A., Dipesh, Mahajan, H., & Srivastavaa, A. K. (2024). Status and Prospects of GdIG Garnet Ferrites for Energy Storage Devices: A Review. Next Generation Materials for Sustainable Engineering, 174-186.

Sharma, A., & Dipesh. (2024). Unlocking the potential of garnet ferrites: a comprehensive review on properties, preparation methods, and applications. Materials Performance and Characterization, 13(1), 1-36.

Chen, Q., Dipesh, Kumar, P., & Baskonus, H. M. (2024). On the equilibrium point and Hopf-Bifurcation analysis of GDP-national debt dynamics under the delayed external investment: A new DDE model. Alexandria Engineering Journal, 91, 510-515.

Sharma, A., Dipesh, Kumar, P., Vas, J. V., Medwal, R., & Srivastava, A. K. (2024). Exchange-coupling enhanced: Tailoring structural and magnetic properties of Dy iron garnet ferrite nanoparticles via La substitution for switching devices. Journal of Materials Research, 1-18.

Dipesh & Kumar, P. (2024). A novel approaches to 6th-order delay differential equations in toxic plant interactions and soil impact: beyond newton-raphson. Physica Scripta, 99(6), 065236.

Dipesh & Kumar, P. (2024). Investigating the impact of Human Population and Population Pressure on Forest Biomass Dynamics Using Delay Differential Equations. In Exploring Medical Statistics: Biostatistics, Clinical Trials, and Epidemiology (pp. 111-129). IGI Global.

Tripathi, S., Kumar, V. & Dipesh, (2024). A Review on Understanding the Impact of Pesticides Towards Greener Harvests Using Mathematical Modelling. Exploring Medical Statistics: Biostatistics, Clinical Trials, and Epidemiology, 156-175.

Sharma, A., Dipesh, Srivastava, A. K., & Raina, S. (2024). Microstructural, dielectric, electrical, electromagnetic, and magnetic property enhancements in GdIG/TrIG/Mn0. 2Co0. 3Zn0. 5Fe2O4 ferrites composites for electronic devices application. Nano-Structures & Nano-Objects, 40, 101331.

Dipesh, & Kumar, P. (2024, February). Numerical and Graphical Representations of Allelopathic Effects on Plant Populations: A Mathematical Model Using DDE. In International Conference on Nonlinear Dynamics and Applications (pp. 130-151). Cham: Springer Nature Switzerland.

Kumar, Pankaj, Pal Singh, Raminder and Dipesh,. "Modeling the effect of discrete delay in SIR epidemic model with logistic growth". Advances in Mathematical and Computational Sciences: Proceedings of The ICRTMPCS International Conference 2023, edited by Manoj Kumar Patel, Triloki Nath, Ram Kishor Pandey and Diwakar Shukla, Berlin, Boston: De Gruyter, 2025, pp. 429-454. https://doi.org/10.1515/9783111313634-033