Active Crowds

Bruna M, Burger M, Pietschmann JF, Wolfram MT (2022)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2022

Publisher: Birkhauser

Series: Modeling and Simulation in Science, Engineering and Technology

Pages Range: 35-73

DOI: 10.1007/978-3-030-93302-9_2


This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in the literature and the derivation of the respective macroscopic partial differential equations for the particle density. The macroscopic models share common features, such as cross-diffusion or degenerate mobilities. We then take the diversity of macroscopic models to a uniform structure and work out potential similarities and differences. Moreover, we discuss boundary effects and possible applications in life and social sciences. This is complemented by numerical simulations that highlight the effects of different boundary conditions.

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How to cite


Bruna, M., Burger, M., Pietschmann, J.F., & Wolfram, M.T. (2022). Active Crowds. In (pp. 35-73). Birkhauser.


Bruna, Maria, et al. "Active Crowds." Birkhauser, 2022. 35-73.

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