Comparison of a microscopic and a macroscopic age-dependent SIR model

Classification of Microscopic Models with Respect to Aggregated System Behaviour

“…As stated in [Bicher et al, 2017a], the term mean-field theorem denotes any theorem dealing with the macroscopic approximation of microscopic models. The basic concept of these theorems is shown in Figure 4.2: The deterministic moments of the aggregated numbers (i.e.…”

“…It depends on the structure of the state-space Γ, the time-space T and whether the model is population-dynamic or -static which of the theorems can be applied or is most applicable with respect to approximation errors, respectively. [Bicher et al, 2017a]…”

“…The McKendrick equation can be proven to be a valid mean-field model for the stated microscopic approach. This mean-field analysis link has already been published in [Bicher et al, 2017a] and the reader is referred to this publication for getting deeper insights into this process as it is time-consuming and complex.…”

“…The similarity of the model results can be verified in Figure 5.28. For further contentual interpretation of the results the reader is once again referred to [Bicher et al, 2017a].…”

“…Figure 4.2: General concept of the application of mean-field theorems. This image is originated in[Bicher et al, 2017a] …”