Dr Joel C Miller, La Trobe University
Networks form the substrate along which many infectious diseases and ideas spread. Understanding how the structure of a network interacts with a spreading process is an important step in its control. The importance of infectious disease control has been clear for some time. More recently it has become clear that our social networks are highly susceptible to the spread of false information, which can be used by adversaries to damage countries.
We will develop differential equations models that perform well at predicting the spread of stochastic simulations in random network networks. We will also compare those models with simulations in networks generated from real observations (there are a number of sources of such measured networks).
Our goal will be to gain experience developing relevant models, and to understand how interactions between individuals can affect how a disease or idea spreads. We will use this to provide some insight into how to reduce (or enhance) a spreading process.
(all are probably available free of charge through your institution’s library. Do not spend money on them unless you really want them. The first two are also available on arxiv)
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Dr Joel Miller,
La Trobe University
Joel Miller is an applied mathematician who develops mathematical models to guide policy decisions for infectious disease spread. Much of his career has been in interdisciplinary institutions such as:
He is particularly interested in understanding how the small-scale structure of a population affects disease spread.