BPCPPDYSOE21 – scientific programme

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BP: Fachverband Biologische Physik

BP 29: Active Matter 5 - organized by Carsten Beta (Potsdam), Andreas Menzel (Magdeburg) and Holger Stark (Berlin) (joint session DY/BP)

BP 29.1: Talk

Wednesday, March 24, 2021, 14:30–14:50, DYb

Barrier-mediated predator-prey dynamics — •Fabian Jan Schwarzendahl and Hartmut Löwen — Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany

The survival chance of a prey chased by a predator depends not only on their relative speeds but importantly also on the local environment they have to face. For example, a wolf chasing a deer might no be able to cross a river which can be crossed by the deer. Here, we propose a simple predator-prey model for a situation in which both the escaping prey and the chasing predator have to surmount an energetic barrier. Different barrier-assisted states of catching or final escaping are classified and suitable scaling laws separating these two states are derived. We discuss the effects of diffusion on the catching times and determine states in which catching or escaping is more likely. Including hydrodynamic and chemotactic interactions, we further identify trapping or escaping states which are determined by hydrodynamics and chemotaxis. Our results are of importance for both microbes and self-propelled unanimous microparticles following each other by non-reciprocal interactions in inhomogeneous landscapes.