3 papers
q-bio.PE2026
MEmilio -- A high performance Modular EpideMIcs simuLatIOn software for multi-scale and comparative simulations of infectious disease dynamics
Julia Bicker, Carlotta Gerstein, David Kerkmann +33
Epidemic and pandemic preparedness with rapid outbreak response rely on timely, trustworthy evidence. Mathematical models are crucial for supporting timely and reliable evidence ge…
math.NA2025
A nonstandard numerical scheme for a novel SECIR integro-differential equation-based model allowing nonexponentially distributed stay times
Anna Wendler, Lena Plötzke, Hannah Tritzschak +1
Ordinary differential equations (ODE) are a popular tool to model the spread of infectious diseases, yet they implicitly assume an exponential distribution to describe the flow fro…
math.DS2025
Revisiting the Linear Chain Trick in epidemiological models: Implications of underlying assumptions for numerical solutions
Lena Plötzke, Anna Wendler, René Schmieding +1
In order to simulate the spread of infectious diseases, many epidemiological models use systems of ordinary differential equations (ODEs) to describe the underlying dynamics. These…