Dr. Natasa Djurdjevac Conrad (ZIB), Dr. Stefanie Winkelmann (ZIB), Prof. Dr. Christof Schütte (ZIB/FU Berlin)
Johannes Zonker (FU Berlin/ZIB)
Zuse Institute Berlin, FU Berlin
Recently, epidemiological models have received lots of attention due to the COVID-19 pandemics. Within this project, we are developing new mathematical models for analyzing spreading processes and inferring which influences had an effect on the spreading dynamics. In particular, we are interested in models on different scales, e.g. stochastic agent-based models on a micro-scale, metapopulation models on a mesoscale and ODE-based models for well mixed populations on a macroscale. The problem of choosing the optimal model is always connected to balancing between the descriptive power of the model and its computational cost. We are working on derivation of mathematical relations between these models e.g. by using model reduction techniques, which could help in estimating an approximation error made by the choice of the model.
mathematical modelling, spatio-temporal spreading process, model reduction
Manuscript is in preparation
MATH+ Project EF5-1 “Spreading of copper technology in ancient times”.