Joint Mathematics Colloquium


Abstract 

Many infectious diseases transmit through a
contaminated environment. In this talk, we will discuss the use
of mathematical modeling and analysis in the study of infectious
diseases of this kind such as E. coli and cholera. The talk consists of
two parts. In the first part, we will give an introduction to
infectious disease modeling and a brief overview of stochastic
processes. In the second part, we will focus on important recent
developments in the modeling and prediction of extinction and outbreak
of E. coli infections, and in the quantification of a disease threshold
for cholera.
