Dr. Hayriye Gulbudak received her PhD in Mathematics in 2014 from University of Florida. She was a postdoctoral researcher at the School of Biological Sciences and Mathematics, Georgia Institute of Technology (2014-2016), and the School of Mathematical and Statistical Sciences, Arizona State University (2016-2017). She is currently an Assistant Professor at the University of Louisiana, Lafayette. Dr. Gulbudak's research lies at the interface of Dynamical Systems, Differential Equations, Numerical Analysis, and their application to modeling biological systems. In particular, she studies the ecology/ evolution of pathogen-host systems using structured population models, bifurcation theory, and computational methods. Her research has been supported by the Simons Foundation and National Science Foundation, including a recent NSF RAPID award to study epidemiological and phylogenetic models of COVID-19.
She/her/hers
United States
Colombia
United Kingdom
Division of Mathematical Sciences
People: Hayriye Gulbudak
2020 – 2023 Continue Reading Modeling Across-Scale Feedback of Pathogen Virulence, Host Immunity, and Disease Control
Division of Mathematical Sciences
People: Hayriye Gulbudak
2020 – 2021 Continue Reading RAPID: Epidemiological and Phylogenetic Models for Contact-Based Control of COVID-19
Afrin N, Ciupe SM, Conway JM, Gulbudak H. (2025). Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics. Mathematical biosciences
Patel S, Lyberger K, Vegvari C, Gulbudak H. (2025). Eco-evolutionary dynamics of anthelmintic resistance in soil-transmitted helminths. Theoretical population biology
Macdonald JC, Gulbudak H. (2023). Forward hysteresis and Hopf bifurcation in an Npzd model with application to harmful algal blooms. Journal of Mathematical Biology, 87(3)
Gulbudak H, Qu Z, Milner F, Tuncer N. (2022). Sensitivity Analysis in an Immuno-Epidemiological Vector-Host Model. Bulletin of mathematical biology, 84(2)
Browne CJ, Gulbudak H, Macdonald JC. (2022). Differential impacts of contact tracing and lockdowns on outbreak size in COVID-19 model applied to China. Journal of theoretical biology, (532)
Gulbudak H, Salceanu PL, Wolkowicz GSK. (2021). A delay model for persistent viral infections in replicating cells. Journal of mathematical biology, 82(7)
Macdonald JC, Browne C, Gulbudak H. (2021). Modelling COVID-19 outbreaks in USA with distinct testing, lockdown speed and fatigue rates. Royal Society Open Science, 8(8)
S. Banuelos, H. GULBUDAK, M. A. Horn, Q. Huang, A. Nandi,H. Ryu,R. Segal,. (2020). Investigating the Impact of Combination Phage and Antibiotic Therapy: A Modeling Study. Using Mathematics to Understand Biological Complexity
H. GULBUDAK. (2020). AN IMMUNO-EPIDEMIOLOGICAL VECTOR–HOST MODEL WITH WITHIN-VECTOR VIRAL KINETICS. Journal of Biological Systems, 28(2)
Gulbudak H, Browne CJ. (2020). Infection severity across scales in multi-strain immuno-epidemiological Dengue model structured by host antibody level. Journal of mathematical biology, 80(6)
Weitz JS, Li G, Gulbudak H, Cortez MH, Whitaker RJ. (2018). Viral invasion fitness across a continuum from lysis to latency. Virus Evolution, 5(1)
Gulbudak H, Weitz JS. (2019). Heterogeneous viral strategies promote coexistence in virus-microbe systems. Journal of theoretical biology, (462)
Tuncer N, Gulbudak H, Cannataro VL, Martcheva M. (2016). Structural and Practical Identifiability Issues of Immuno-Epidemiological Vector-Host Models with Application to Rift Valley Fever. Bulletin of mathematical biology, 78(9)
Gulbudak H, Cannataro VL, Tuncer N, Martcheva M. (2017). Vector-Borne Pathogen and Host Evolution in a Structured Immuno-Epidemiological System. Bulletin of mathematical biology, 79(2)
Gulbudak H, Weitz JS. (2016). A touch of sleep: biophysical model of contact-mediated dormancy of archaea by viruses. Proceedings. Biological sciences, 283(1839)
Browne C, Gulbudak H, Webb G. (2015). Modeling contact tracing in outbreaks with application to Ebola. Journal of theoretical biology, (384)
Gulbudak H, Martcheva M. (2014). A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection. Bulletin of mathematical biology, 76(10)
Gulbudak H, Martcheva M. (2013). Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. Mathematical biosciences, 246(1)
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