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
Ph.D in Applied Mathematics from Lovely Professional University, Punjab
M.Sc. in Mathematics from Indira Gandhi University, Meerpur, Rewari, Haryana
B.Sc. (NM) from M.D.U. Rohtak, Haryana
Assistant Professor at SR University, from 2024-08-22 to Till Date.
Postdoctoral at Harran University , from 2023-06-01 to 2024-07-31.
Assistant Professor at Lovely Professional University , from 2022-11-22 to 2024-07-27.
Ph.D
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