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.

Anna McAllister – Mathematical Modelling – Best Researcher Award

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Ms. Anna McAllister - Mathematical Modelling - Best Researcher Award 

Ulster University - United Kingdom

Author Profile

Early Academic Pursuits

Ms. Anna McAllister's academic journey began with a solid foundation in mathematics. Graduating with a Master's degree in Mathematics from Ulster University in 2020, she transitioned seamlessly into a Ph.D. program, delving into the realm of Mathematical Modelling with a focus on Chaotic Dynamics within Predator-Prey systems. This academic trajectory showcased her early commitment to rigorous mathematical inquiry and laid the groundwork for her subsequent professional endeavors.

Professional Endeavors

Throughout her academic pursuits, McAllister has demonstrated a remarkable dedication to her field, marked by a series of achievements and contributions. Her research interests led her to explore unconventional methods for detecting chaotic dynamics in large predator-prey models, moving beyond traditional techniques like the Lyapunov spectrum. Her investigations into the application of the Hurst exponent, typically utilized in the financial sector, have offered novel insights into the detection of chaos within complex systems.

Moreover, McAllister's involvement in numerous conferences, including presentations at esteemed gatherings such as the International Society of Ecological Modelling Conference and the British Applied Mathematics Colloquium, underscores her commitment to disseminating her research findings and engaging with the broader academic community. Her willingness to share her work at various university events further reflects her dedication to fostering academic discourse and collaboration.

Contributions and Research Focus

Ms. McAllister's research contributions extend beyond traditional boundaries, incorporating interdisciplinary approaches to tackle complex ecological phenomena. By leveraging machine learning techniques within ecological modeling, she has pushed the boundaries of traditional methodologies, offering innovative solutions for detecting chaotic dynamics in ecological systems. Her focus on predator-prey models highlights the critical importance of understanding the dynamics of natural ecosystems and the potential implications for conservation and management efforts.

Accolades and Recognition

Ms. McAllister's contributions have not gone unnoticed within the academic community. Her prolific publication record, including multiple peer-reviewed papers and conference presentations, speaks to the significance and impact of her research. Moreover, her active involvement in editorial appointments and collaborative activities further underscores her reputation as a respected scholar within her field.

Impact and Influence

Ms. McAllister's research has the potential to catalyze significant advancements in the field of ecological modeling and dynamics. By developing novel methods for detecting chaotic behavior in ecological systems, her work has practical implications for understanding and predicting the behavior of complex ecosystems. The ability to anticipate potential collapses or disruptions within predator-prey dynamics can inform more effective conservation strategies and ecosystem management practices.

Legacy and Future Contributions

As McAllister continues to pursue her academic and research endeavors, her legacy is poised to leave a lasting impact on the field of mathematical ecology. Her innovative approaches to modeling and detecting chaotic dynamics represent a paradigm shift in ecological research, opening new avenues for exploration and discovery. Moving forward, her commitment to interdisciplinary collaboration and knowledge dissemination will undoubtedly shape the future trajectory of ecological modeling and dynamics.

In conclusion, Anna McAllister's journey from early academic pursuits to her current standing as a leading researcher in mathematical ecology exemplifies a dedication to excellence, innovation, and interdisciplinary collaboration. Her contributions have not only advanced our understanding of complex ecological systems but also paved the way for future generations of researchers to build upon her pioneering work.

Notable Publication

Tahmineh Azizi – Applied Mathematics – Excellence in Research 

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Dr. Tahmineh Azizi - Applied Mathematics - Excellence in Research 

University of Missouri- St. Louis - United States

Author Profile

Early Academic Pursuits

Dr. Tahmineh Azizi embarked on her academic journey with a strong foundation in mathematics, earning an MS in Applied Mathematics from Isfahan University of Technology, specializing in Differential Equations and Dynamical Systems. Her passion for interdisciplinary research led her to pursue a Ph.D. in Applied Mathematics at Kansas State University. During her doctoral studies, she made significant contributions to computational biology, physiology, and neuroscience, culminating in her dissertation titled "Mathematical modeling with applications in biological systems, physiology, and neuroscience."

Professional Endeavors

Dr. Azizi's professional journey has been marked by diverse experiences across esteemed institutions. As a Post-Doctoral Research Associate at Washington University in St. Louis, she delved into the realm of neuroscience and precision psychiatry, contributing to groundbreaking research at the Neuroimaging Labs Research Center. Prior to this, she served as a Research Associate at the University of Wisconsin-Madison, where she honed her expertise in biostatistics and medical informatics.

Contributions and Research Focus

Dr. Azizi's research portfolio spans a wide array of topics, showcasing her versatility and expertise. Her contributions include advancements in brain segmentation, computational anatomy, optimal transport, Bayesian regression analysis, computational neuroscience, multiscale modeling, uncertainty quantification, and signal analysis, among others. She has made notable strides in understanding neurodegenerative diseases such as Alzheimer's, Parkinson's, and Huntington's through innovative approaches in neuroimaging and mathematical modeling.

Accolades and Recognition

Throughout her career, Azizi has garnered numerous accolades and recognition for her exemplary contributions to academia and research. Notably, she has been the recipient of prestigious awards such as the NSF-supported project Award, International Research Awards for Excellence in Mathematics and Optimization Methods, and Women Researcher Award in the Netherlands. Her work has been acknowledged internationally, reflecting the impact and significance of her research endeavors.

Impact and Influence

Dr. Azizi's research has left a profound impact on various fields, ranging from computational biology to mathematical modeling and neuroscience. Her publications in esteemed journals have contributed to the advancement of knowledge in fractal geometry, dynamical systems theory, pharmacokinetics, and population dynamics. By elucidating complex phenomena through mathematical frameworks, she has paved the way for novel insights and discoveries in interdisciplinary research domains.

Legacy and Future Contributions

As a distinguished scholar and researcher, Azizi's legacy lies in her commitment to interdisciplinary collaboration and the pursuit of excellence in academia. Her future contributions are poised to further push the boundaries of scientific inquiry, with ongoing projects aimed at analyzing neural systems using topological and computational methods. By bridging the gap between mathematics and diverse scientific disciplines, she continues to inspire future generations of researchers and make enduring contributions to the advancement of knowledge and human welfare.

Citations

A total of 275 citations for his publications, demonstrating the impact and recognition of her research within the academic community.

  • Citations    275
  • h-index       9
  • i10-index    8

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