Arun Kumar | Mathematical Modeling | Best Researcher Award

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Dr. Arun Kumar | Mathematical Modeling | Best Researcher Award

IIT Mandi | India

Dr. Arun Kumar is a Research Associate (Postdoctoral) at the Indian Institute of Technology Mandi, specializing in mathematical and computational modeling of complex biological, ecological, and epidemiological systems. He earned his Ph.D. in Mathematics from Banaras Hindu University in 2023, following an M.Sc. in Mathematics from the same institution and a B.Sc. from CCS University, Meerut. His research focuses on nonlinear dynamics, bifurcation theory, delay differential equations, reaction–diffusion systems, Turing patterns, and the integration of deep learning and physics-informed neural networks (PINNs) for solving partial differential equations. Dr. Kumar has published extensively in high-impact journals on topics including SIR/SIRS epidemic models, cross-diffusion models, predator–prey dynamics, and pattern formation in spatial ecological systems. His work bridges theoretical mathematics and practical applications in disease modeling and ecology, offering insights into complex population interactions, control strategies, and spatio-temporal dynamics. Currently, he is developing deep learning algorithms to solve PDEs with applications in ecological and epidemiological systems. His ongoing research explores predator-prey interactions, learning in ecological models, and the forecasting of infectious diseases such as monkeypox. Dr. Kumar’s contributions have advanced the understanding of nonlinear systems, providing both analytical and computational tools for studying complex biological and ecological phenomena.

Profile : Google Scholar

Featured Publications

Gupta, R. P., & Kumar, A. (2022). “Endemic bubble and multiple cusps generated by saturated treatment of an SIR model through Hopf and Bogdanov–Takens bifurcations.” Mathematics and Computers in Simulation, 197, 1–21.

Gupta, R. P., Kumar, A., & Yadav, D. K. (2024). “The complex dynamical study of a UAI epidemic model in non-spatial and spatial environments.” The European Physical Journal Plus, 139(2), 117.

Yadav, D. K., Gupta, R. P., & Kumar, A. (2022). “Nonlinear dynamics of a three species prey-predator system incorporating fear effect and harvesting.” Journal of Mathematical Control Science and Applications.

Kumar, A., Gupta, R. P., & Tiwari, S. (2022). “Influences of nonlinear cross-diffusion on a reduced SI epidemic model with saturated treatment.”

Kumar, A., Kumari, N., Mandal, S., & Tiwari, P. K. (2025). “Autonomous and non-autonomous dynamics of an SIRS model with convex incidence rate.” Journal of the Franklin Institute, 108236.

Mohammad Zeyauddin | Qualitative Research | Best Researcher Award

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Assist. Prof. Dr. Mohammad Zeyauddin | Qualitative Research | Best Researcher Award

Jubail Industrial College | Saudi Arabia

Dr. Mohammad Zeyauddin is an accomplished Assistant Professor in the Department of General Studies, Mathematics Section, at Jubail Industrial College, Saudi Arabia. With over fourteen years of teaching experience at undergraduate and postgraduate levels, he has contributed significantly to curriculum development, academic mentorship, and student engagement. Dr. Zeyauddin holds a Ph.D. in Applied Mathematics from Banaras Hindu University, India, with research focused on spatially homogeneous and anisotropic Bianchi Type V cosmological models in general relativity and scalar-tensor theories of gravitation. He also completed a Post-Doctoral Fellowship at the Joint Institute for Nuclear Research, Dubna, Russia, specializing in relativistic cosmology. His teaching repertoire spans Linear Algebra, Differential and Integral Calculus, Differential Equations, Complex and Functional Analysis, Tensor Analysis, Probability and Statistics, and Computational Mathematics. He has published over 30 international research papers and serves as a reviewer for the American Mathematical Society. His research interests include non-linear differential equations, general relativity, cosmology, and scalar-tensor theories of gravitation. Recognized for academic excellence, he has received UGC Junior and Senior Research Fellowships, postdoctoral fellowships, and appreciation for curriculum contributions. Dr. Zeyauddin continues to inspire students and peers through innovative teaching, research, and contributions to mathematical sciences.

Profile : Orcid

Featured Publications

Dayanandan, B., Pradhan, A., Zeyauddin, M., & Banerjee, A. (2025). Quark stars with strongly interacting quark matter in energy-momentum squared gravity. International Journal of Geometric Methods in Modern Physics.

Pradhan, A., Zeyauddin, M., Dixit, A., & Krishnannair, S. (2025). Dust-fluid accelerating flat cosmological models in f(R,T,Lm)-gravity with observational constraints. International Journal of Geometric Methods in Modern Physics.

Pradhan, A., Zeyauddin, M., Dixit, A., & Ghaderi, K. (2025). Phantom dark energy behavior in Weyl type f(Q,T) gravity models with observational constraints. Universe, 11(8).

Pradhan, A., Dayanandan, B., Zeyauddin, M., & Banerjee, A. (2025). On the possible existence of wormholes in Rastall–Rainbow gravity. International Journal of Modern Physics A.

Pradhan, A., Dixit, A., Zeyauddin, M., & Krishnannair, S. (2024). A flat FLRW dark energy model in f(Q,C)-gravity theory with observational constraints. International Journal of Geometric Methods in Modern Physics.