MEmilio implements various models for infectious disease dynamics, from simple compartmental models through Integro-Differential equation-based models to agent- or individual-based models. Its modular design allows the combination of different models with different mobility patterns. Through efficient implementation and parallelization, MEmilio brings cutting edge and compute intensive epidemiological models to a large scale, enabling a precise and high-resolution spatiotemporal infectious disease dynamics. MEmilio will be extended continuously. It is available open-source and we encourage everyone to make use of it.
If you use MEmilio, please cite our work
- Bicker J, Gerstein C, Kerkmann D, Korf S, Schmieding R, Wendler A, Zunker H et al. (2026) MEmilio - A high performance Modular Epidemics Simulation software for multi-scale and comparative simulations of infectious disease dynamics. Submitted for publication. https://doi.org/10.48550/arXiv.2602.11381
and, in particular, for
- Ordinary differential equation-based (ODE) and Graph-ODE models: Zunker H, Schmieding R, Hasenauer J, Kühn M J (2026). Efficient numerical computation of traveler states in explicit mobility-based metapopulation models: Mathematical theory and application to epidemics. arXiv. https://doi.org/10.48550/arXiv.2603.11275
- Integro-differential equation-based (IDE) models: Wendler A, Plötzke L, Tritzschak H, Kühn MJ. (2026). A nonstandard numerical scheme for a novel SECIR integro differential equation-based model with nonexponentially distributed stay times. Applied Mathematics and Computation 509: 129636. https://doi.org/10.1016/j.amc.2025.129636
- Agent-based models (ABMs): Kerkmann D, Korf S, Nguyen K, Abele D, Schengen A, et al. (2025). Agent-based modeling for realistic reproduction of human mobility and contact behavior to evaluate test and isolation strategies in epidemic infectious disease spread. Computers in Biology and Medicine 193: 110269. https://doi.org/10.1016/j.compbiomed.2025.110269
- Hybrid agent-metapopulation-based models: Bicker J, Schmieding R, Meyer-Hermann M, Kühn MJ. (2025). Hybrid metapopulation agent-based epidemiological models for efficient insight on the individual scale: A contribution to green computing. Infectious Disease Modelling 10(2): 571-590. https://doi.org/10.1016/j.idm.2024.12.015
- Graph Neural Networks: Schmidt A, Zunker H, Heinlein A, Kühn MJ. (2025). Graph Neural Network Surrogates to leverage Mechanistic Expert Knowledge towards Reliable and Immediate Pandemic Response. Scientific Reports 16, 6361. https://doi.org/10.1038/s41598-026-39431-5
- ODE-based models with Linear Chain Trick: Plötzke L, Wendler A, Schmieding R, Kühn MJ. (2026). Revisiting the Linear Chain Trick in epidemiological models: Implications of underlying assumptions for numerical solutions. Mathematics and Computers in Simulation 239, pp. 823-844. https://doi.org/10.1016/j.matcom.2025.07.045
- Behavior-based ODE models: Zunker H, Dönges P, Lenz P, Contreras S, Kühn MJ. (2025). Risk-mediated dynamic regulation of effective contacts de-synchronizes outbreaks in metapopulation epidemic models. Chaos, Solitons & Fractals. https://doi.org/10.1016/j.chaos.2025.116782
Getting started
The documentation for MEmilio can be found at https://memilio.readthedocs.io/en/latest/index.html
Publication simulations
Simulations used for publications, along with their specific plotting and processing scripts, are available in a separate repository: https://github.com/SciCompMod/memilio-simulations
Development
The coding guidelines and git workflow description can be found in the documentation at https://memilio.readthedocs.io/en/latest/development.html