10 citations · 12 across the 4 of their papers we have counts for
5 papers
Probability generating functions for epidemiological time series
Mariah C. Boudreau, Guillaume St-Onge
Probability generating functions (PGFs) are a fundamental tool in mathematical epidemiology to characterize the stochastic evolution of epidemics via branching process theory. Howe…
Sensitivity analysis of epidemic forecasting and spreading on networks with probability generating functions
Mariah C. Boudreau, William H. W. Thompson, Christopher M. Danforth +2
Epidemic forecasting tools embrace the stochasticity and heterogeneity of disease spread to predict the growth and size of outbreaks. Conceptually, stochasticity and heterogeneity…
Within-host infection dynamics with master equations and the method of moments: A case study of human papillomavirus in the epithelium
Mariah C. Boudreau, Jamie A. Cohen, Laurent Hébert-Dufresne
Master equations provide researchers with the ability to track the distribution over possible states of a system. From these equations, we can summarize the temporal dynamics throu…
Temporal and probabilistic comparisons of epidemic interventions
Mariah C. Boudreau, Andrea J. Allen, Nicholas J. Roberts +2
Forecasting disease spread is a critical tool to help public health officials design and plan public health interventions. However, the expected future state of an epidemic is not…
Predicting the diversity of early epidemic spread on networks
Andrea J. Allen, Mariah C. Boudreau, Nicholas J. Roberts +2
The interplay of biological, social, structural and random factors makes disease forecasting extraordinarily complex. The course of an epidemic exhibits average growth dynamics det…