7 papers
Forward hysteresis and Hopf bifurcation in an NPZD model with application to harmful algal blooms
Joshua C. Macdonald, Hayriye Gulbudak
Nutrient-Phytoplankton-Zooplankton-Detritus (NPZD) models, describing the interactions between phytoplankton, zooplankton systems, and their ecosystem, are used to predict their ec…
Sensitivity analysis in an Immuno-Epidemiological Vector-Host Model
Hayriye Gulbudak, Zhuolin Qu, Fabio Milner +1
Sensitivity Analysis (SA) is a useful tool to measure the impact of changes in model parameters on the infection dynamics, particularly to quantify the expected efficacy of disease…
An Immuno-Epidemiological Vector-Host Model with Within-Vector Viral Kinetics
Hayriye Gulbudak
A current challenge for disease modeling and public health is understanding pathogen dynamics across scales since their ecology and evolution ultimately operate on several coupled…
Infection severity across scales in multi-strain immuno-epidemiological Dengue model structured by host antibody level
Hayriye Gulbudak, Cameron J. Browne
Infection by distinct Dengue virus serotypes and host immunity are intricately linked. In particular, certain levels of cross-reactive antibodies in the host may actually enhance i…
Modeling Contact Tracing in Outbreaks with Application to Ebola
Cameron Browne, Hayriye Gulbudak, Glenn Webb
Contact tracing is an important control strategy for containing Ebola epidemics. From a theoretical perspective, explicitly incorporating contact tracing with disease dynamics pres…
A Touch of Sleep: Biophysical Model of Contact-mediated Dormancy of Archaea by Viruses
Hayriye Gulbudak, Joshua S. Weitz
The canonical view of the interactions between viruses and their microbial hosts presumes that changes in host and virus fate require the initiation of infection of a host by a vir…
Forward Hysteresis and Backward Bifurcation Caused by Culling in an Avian Influenza Model
Hayriye Gulbudak, Maia Martcheva
The emerging threat of a human pandemic caused by the H5N1 avian influenza virus strain magnifies the need for controlling the incidence of H5N1 infection in domestic bird populati…