BPCPPDYSOE21 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 25: Nonlinear Dynamics 2 - organized by Azam Gholami (Göttingen)

DY 25.5: Vortrag

Dienstag, 23. März 2021, 12:20–12:40, DYc

Effects of social distancing and isolation modeled via dynamical density functional theory* — •Michael te Vrugt, Jens Bickmann, and Raphael Wittkowski — Institut für Theoretische Physik, Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, D-48149, Münster, Germany

For preventing the spread of epidemics such as the coronavirus disease COVID-19, social distancing and the isolation of infected persons are crucial. However, existing reaction-diffusion equations for epidemic spreading are incapable of describing these effects. In this talk, we present an extended model for disease spread based on combining a susceptible-infected-recovered model with a dynamical density functional theory where social distancing and isolation of infected persons are explicitly taken into account [1]. We show that the model exhibits interesting transient phase separation associated with a reduction of the number of infections, and provides new insights into the control of pandemics. An extension of the model [2] allows for an investigation of adaptive containment strategies. Here, a variety of phases with different numbers of shutdowns and deaths are found, an effect that is of crucial importance for public health policy.

[1] M. te Vrugt, J. Bickmann and R. Wittkowski, Nature Communications 11, 5576 (2020)

[2] M. te Vrugt, J. Bickmann and R. Wittkowski, arXiv:2010.00962 (2020)

*Funded by the Deutsche Forschungsgemeinschaft (DFG) – WI 4170/3-1