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math.DS2022★ 28 cited
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…
math.DS2019
From interacting agents to density-based modeling with stochastic PDEs
Luzie Helfmann, Natasa Djurdjevac Conrad, Ana Djurdjevac +2
Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the syst…