Author: Ralf Engbert; Maximilian M. Rabe; Reinhold Kliegl; Sebastian Reich
Title: Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics Document date: 2020_4_17
ID: 855am0mv_31
Snippet: While the classical model is formulated as a system of ordinary differential equations, we are exploring the application to relatively low numbers of cases in the early phase of the current epidemics on the regional level with population sizes from 10 5 to 10 6 . Therefore, we use the stochastic SEIR model in the form of a master equation [10] , which is particularly useful for modeling small numbers of infected individuals occuring in smaller re.....
Document: While the classical model is formulated as a system of ordinary differential equations, we are exploring the application to relatively low numbers of cases in the early phase of the current epidemics on the regional level with population sizes from 10 5 to 10 6 . Therefore, we use the stochastic SEIR model in the form of a master equation [10] , which is particularly useful for modeling small numbers of infected individuals occuring in smaller regions or in the beginning of epidemics. The demographic SEIR model contains four variables denoted by X = (S, E, I, R) T ∈ N 4 representing the number of individuals in each of the four classes with constant population size 8 . CC-BY 4.0 International license It is made available under a is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
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