4 papers
A full software stack for epidemic disease management: Unlocking the joint potential of software technology and supercomputing
Jonas Gilg, Johann Fredrik Jadebeck, Mariama Jaiteh +22
Infectious diseases remain a major threat to human societies. During the recent COVID-19 pandemic, mathematical modeling and extensive computer simulations proved highly effective…
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…
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…
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…