Dresden 2026 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 4: Poster Session

SOE 4.7: Poster

Monday, March 9, 2026, 18:00–21:00, P4

Modeling Predator-Prey Encounters via Interacting Ornstein-Uhlenbeck Motions — •Zihao Liu and Ricardo Martinez-Garcia — Helmholtz-Zentrum Dresden-Rossendorf

Most population dynamics models assume well-mixed and independent individuals. However, many animals anchor their movement around key resources such as food, water, or shelter, a behavior well captured by Ornstein-Uhlenbeck home-range dynamics. Previous work has shown that incorporating home-range behavior already leads to substantial deviations in encounter rates from classical predictions. In this study, we further relax the assumption of independence by introducing an explicit attractive interaction from the predator to the prey. Using analytical approximations and individual-based simulations, we explore how this interaction reshapes the encounter landscape across different home-range sizes, spatial separations, force magnitudes, and interaction ranges. We also discuss how small changes in individual movement behavior may influence group-level dynamics, with possible implications for foraging efficiency, spatial clustering, and coexistence conditions.

Keywords: Ornstein-Uhlenbeck Process; Home-range Behavior; Encounter Theory; Stochastic Process