2012
IWISH 2012 Proceeding
Analysis and comparison of different modelling approaches based on an SIS epidemic
Authors: Andreas Bauer, Carina Pöll, Nina Winterer, Florian Miksch, Felix Breitenecker
Abstract
An SIS epidemic is a common approach to model a contagious disease. Three different modelling approaches are used to simulate an SIS epidemic. These methods are an ordinary differential equation model, an agent-based model and a stochastic model. The aim is to compare them in equivalent settings and analyse the qualitative and quantitative similarities and differences. Furthermore, they are extended to simulate diseases based on two serotypes. For the models with one serotype the results for all three approaches are very similar. For two serotypes there are some situations in which the three models agree and some in which they do not agree. Our conclusion is that the models are not completely equivalent. However it is not possible to determine which model is the best because this always depends on the actual situation. The comparison of the three modelling approaches can help to get a better understanding of SIS epidemics.
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