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20 papers · 1 filter
Hybrid PDE-ODE Models for Efficient Simulation of Infection Spread in Epidemiology
Kristina Kehrer, Martin Weiser, Tim Conrad
This paper introduces a novel hybrid model combining Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs) to simulate infectious disease dynamics across…
Dynamical systems and complex networks: A Koopman operator perspective
Stefan Klus, Nataša Djurdjevac Conrad
The Koopman operator has entered and transformed many research areas over the last years. Although the underlying concept$\unicode{x2013}$representing highly nonlinear dynamical sy…
Koopman-Based Surrogate Models for Multi-Objective Optimization of Agent-Based Systems
Jan-Hendrik Niemann, Stefan Klus, Nataša Djurdjevac Conrad +1
Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individu…
Learning Koopman eigenfunctions of stochastic diffusions with optimal importance sampling and ISOKANN
Alexander Sikorski, Enric Ribera Borrell, Marcus Weber
For stochastic diffusion processes the dominant eigenfunctions of the corresponding Koopman operator contain important information about the slow-scale dynamics, that is, about the…
Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
Natasa Djurdjevac Conrad, Jonas Köppl, Ana Djurdjevac
We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a positio…
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading
Stefanie Winkelmann, Johannes Zonker, Christof Schütte +1
Agent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost…