My research program advances the field of mathematical biology through understanding the influence of human behavior on disease spread through construction and mathematical analysis of epidemiological models.
I assess numerous methods for incorporating human behavior into deterministic, compartmental mathematical models of infectious diseases, to understand how different human behavior mechanisms affect model output (with particular focus on forecasting), and to develop models with strong forecasting abilities which can inform policy development for disease control.
I work to understand dynamics of cholera spreading through multiple transmission pathways through the lens of a coupled host-pathogen multistrain model with a cross-immunity component. This deterministic, compartmental, ordinary differential equation model replicates and examines the effects on disease dynamics of anti-phase cycling of two cholera serotypes. Understanding mechanisms which influence this cycling gives insight to constructing efficient disease control measures.Â