Guangyu Zhao

Guangyu Zhao is a Lecturer in the Department of Mathematical Sciences at the University of Nevada, Las Vegas (UNLV). His research focuses on nonlocal equations, fractional calculus, and their applications in mathematical biology and spectral theory. He has contributed to understanding traveling wave solutions, eigenvalue problems involving fractional Laplacian operators, and spatiotemporal dynamics in epidemic models with Lévy flights. His work bridges theoretical analysis and applied mathematics, addressing topics such as nonlocal diffusion systems, stability of coexistence states, and Turing patterns.

Research Interests
Zhao’s research spans nonlocal partial differential equations, fractional diffusion models, and their applications in epidemiology and ecology. He explores spectral properties of nonlocal operators, asymptotic behavior of traveling waves, and the mathematical foundations of nonlocal reaction-diffusion systems. His studies often involve rigorous proofs of existence, uniqueness, and stability of solutions in both time-periodic and steady-state contexts.

Recent Trends in Publications
Recent work emphasizes fractional Laplace operators and their role in singularly perturbed eigenvalue problems (2025), spatiotemporal dynamics with Lévy flights (2023), and spectral convergence in nonlocal systems (2017). His articles highlight connections between nonlocal models and classical PDE theory, with applications ranging from viral infections to ecological competition.

Awards and Grants
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Advising and Collaborations
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Labs and Teams
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