Testing, tracing and isolation in compartmental models.Existing compartmental mathematical modelling methods for epidemics, such as SEIR models, cannot accurately represent effects of contact tracing.  We show that the resultant SEIR-TTI model accurately approximates the behaviour of a mechanistic agent-based model at far less computational cost. 
SEIR
An alternative used in practice is the application of agent- or individual-based models (ABM).  However ABMs are complex, less well-understood and much more computationally expensive. 
ABM
We show that the resultant SEIR-TTI model accurately approximates the behaviour of a mechanistic agent-based model at far less computational cost. 
SEIR-TTI model