A new approximation technique for Markov chains with applications to epidemics and biodiversity

Seminar/Forum

A new approximation technique for Markov chains with applications to epidemics and biodiversity

Evan Williams Theatre
Peter Hall
Monash Road

Map

More information

d.brumley@unimelb.edu.au

Continuous time Markov chains are frequently used to model biological systems in which interactions are driven by underlying randomness. Often, features of interest in such models can be investigated by formulating first passage problems. Such problems ask what is the likelihood that one event occurs before another, or how long, on average, does it take before the event first occurs. Unfortunately, analysis of these problems is impossible in all except the simplest cases. In this talk, presently available approximation techniques are revisited. A new technique called Local Approximation in Time and Space is presented along with applications to epidemiology and ecology

Presenter

  • Dr Evan Milliken
    Dr Evan Milliken, Postdoctoral Associate