Dr. Dipesh

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. https://doi.org/10.1002/mma.8307

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. 10.1016/j.chaos.2023.113457

Chen, Q., Dipesh, Kumar, P., & Baskonus, H. M. (2024). Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator. AIMS Mathematics, 9(3), 7471-7191. 10.3934/math.2024362

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, 1(2), 187-200. https://doi.org/10.2478/ijmce-2023-0015

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. https://doi.org/10.1002/mma.9141

Kumar, P., & Dipesh. (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. 10.1088/1742-6596/2267/1/012019

Chen, Q., 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. 10.1016/j.aej.2024.02.022

Dipesh, & Kumar, P. (2022, March). Modelling the stimulatory and inhibitory allelopathic effects on competing plant populations. In AIP Conference Proceedings (Vol. 2435, No. 1, p. 020044). AIP Publishing LLC. https://doi.org/10.1063/5.0083592

Babaoglu, M., Kumar, P., Dhatterwal, J. S., & Alsulami, M. (2025). Synergistic modeling of hydrogel gelation via time-delay dynamics and machine learning algorithms. Mathematical Modelling and Numerical Simulation with Applications, 5(3), 5. https://doi.org/10.53391/2791-8564.1004

Dipesh, Kumar, P., Sharma, A. (2025). Mathematical model of Cynodon dactylon’s allelopathic effect on perennial ryegrass for exploring plant-plant interactions based upon ordinary differential equations. Partial Differential Equations in Applied Mathematics, 15, 101254. 10.1016/j.padiff.2025.101254

Wang, Y., Dipesh, Kumar, P., Baskonus, H. M., & Gao, W. (2025). On the modeling the impact of delay on stock pricing fluctuations using delay differential equations. Physica A: Statistical Mechanics and its Applications, 668, 130601. 10.1016/j.physa.2025.130601

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. 10.1088/1402-4896/ad474f

Dipesh, Kumar, P., Ozden Ayna, H., & Cangul, I. N. (2026). Delay-Induced Stability Transitions and Hopf Bifurcation in a Model of Cumulative Hot Pollutant Concentration. Symmetry, 18(3), 404. https://doi.org/10.3390/sym18030404

Chen, Q., Dipesh, Kumar, P., & Baskonus, H. M. (2026). Stability analysis of GDP-national debt dynamics using delay differential equation. Fractals, 34(04), 2540059. https://doi.org/10.1142/S0218348X25400596

Yan, L., Dipesh, Gómez-Aguilar, J. F., Kumar, P., Verma, R., & Baskonus, H. M. (2025). Hopf bifurcation and stability analysis of delayed Gauss-type Plant–Herbivore model with Holling type-III functional response. International Journal of Modeling, Simulation & Scientific Computing, 16(5), 1. doi. 10.1142/S1793962325500552

Li, D., Dipesh, Atmaca, S. P., & Kumar, P. (2025). On the Hopf bifurcation and equilibrium points of partial benefit symbiosis of financial market using delay differential equations. Fractals, 33(08), 2540160. https://doi.org/10.1142/S0218348X25401607

Dipesh, Kumar, P. (2025). Modelling the role of delay in blood flow dynamics in human body using delay differential equations. Physica A: Statistical Mechanics and its Applications, 668, 130602. 10.1016/j.physa.2025.130602

Gunes, A. Y., Dipesh, & Özden Ayna, H. (2026). Investigating the role of allelochemicals in plant population dynamics via the stability analyses, equilibrium point and Hopf-bifurcation: a delay-differential model. Applied Mathematics in Science and Engineering, 34(1), 2627665. https://doi.org/10.1080/27690911.2026.2627665

Dipesh, Amilo, D., Sadri, K., & Hafez, M. (2026). Stability and Intelligent Control of a Fractional Predator–Prey System with Time Delay and Holling Type-III Functional Response. AppliedMath, 6(10), 161. https://doi.org/10.3390/appliedmath6100161

Dipesh, Kumar, P., Ozden Ayna, H., & Cangul, I. N. (2026). Delay-Induced Stability Transitions and Emergent Population Cycles in a Generalized Ecological Food Chain. Mathematics, 14(14), 2530. https://doi.org/10.3390/math14142530

ILHAN, E., DIPESH, DHATTERWAL, J. S., & BASKONUS, H. M. (2026). HYBRID FRACTIONAL-NEURAL MULTI-AGENT SYSTEMS WITH NEUTRAL DELAY: DYNAMICAL STABILITY AND PREDICTIVE AI MODELING. Fractals, 2740016. https://doi.org/10.1142/S0218348X27400160

Dipesh, Dhatterwal, J. S., & Ozden Ayna, H. (2026). Koopman Spectrum RL for Bifurcation Control: Data-Driven Policy Optimization in Spectral Subspaces. Mathematics, 14(11), 1847. https://doi.org/10.3390/math14111847

Dipesh, Kumar, P., Movaheedi, Z., & Malik, S. (2026). Delayed Parasitism and Population Cycles in Mosquito–Water Mite Systems. Complexity, 2026(1), 9474425. https://doi.org/10.1155/cplx/9474425

Bhardwaj, P. & Dipesh, (2025). Quantifying Musculoskeletal Strain in Laptop Users with Laplace Transformation and Delay Differential Equations. Journal of Environmental Accounting and Management, 13(04), 349-360. https://doi.org/10.5890/JEAM.2025.12.002

Kaur, D., Dipesh, Kumar, P., & Murad, M. A. S. (2025). Dynamic Stability and Growth Analysis in Plants: A DDE Model. Palestine Journal of Mathematics, 14, 232.

Dipesh, P. K., & Kaur, G. (2025). OPTIMIZING ALLELOPATHIC INTERACTIONS: STABILITY ANALYSIS WITH TIME DELAY IN PLANT POPULATIONS. dynamics, 9, 13.

Dhatterwal, J. S., Dipesh, (2025). Fractal-AIMAS synergy for multiscale consciousness modeling in neuro-cybernetic systems: A multifractal, Kuramoto oscillator, and hybrid neuroprosthetic approach. Chaos, Solitons & Fractals, 201, 117393. 10.1016/j.chaos.2025.117393

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