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Anna Mummert

Research Interests

My current research interests are in the fields of mathematical biology and other applications of dynamical systems.

Current Projects

  1. Epidemiological Modeling
    • Modeling a pandemic flu outbreak focusing on determining why 2009 pandemic H1N1 flu has two peaks in the number of infected individuals, while seasonal flu only has one peak, using agent-based modeling. This project is part of the Marshall BioM2 project (NSF - UBM grant).
    • Studying the time-dependent transmission rate in epidemic models.
    • Modeling the influence of isolation and other mandates on controlling outbreak of infectious diseases, with a focus on optimal control measures.
  2. Projective Geomoetry
    • Examining projective geometry on the sphere.
  3. Classroom Related
    • Development of case studies of agent-based epidemiological modeling.
    • Development of lab materials for modeling muscle tension.

Previous Projects

  1. Epidemiological Modeling
    • Modeling a pandemic flu outbreak focusing on determining why 2009 pandemic H1N1 flu has two peaks in the number of infected individuals, while seasonal flu only has one peak, using ordinary differential equations.
    • Modeling the influence of media intervention on the severity of disease epidemics.
    • Discretizing the SI (susceptible-infected) epidemic model.
    • Modeling super spreading events of infectious diseases, with a focus on SARS.
    • Analyzing basic disease models on time scales.
  2. Biological Modeling
    • Modeling reslin in insect joints. This project is part of the Marshall BioM2 project (NSF - UBM grant).
    • Analysis of respiratory rates in freshwater mussels. This project was part of the Marshall BioM2 project (NSF - UBM grant).
    • Modeling antibiotic resistant bacteria in rivers.
  3. Dynamical Systems
    • Numerical computation of Lyapunov exponents.