Florian Miksch  Mathematical Modeling for New Insights into Epidemics by Herd Immunity and Serotype Shift

Mathematical Modeling for New Insights into Epidemics by Herd Immunity and Serotype Shift

von Florian Miksch

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Beschreibung

The aim of this work is to examine, define and interpret dynamic effects on the spread of epidemics through the use of different models. This approach is heavily based on the consequent application of agent based models, which simulate the spread of a disease as a consequence of transmission from person to person, and Markov models, which are based on stochastic processes. Thanks to its structure, the former approach is able to create real effects, while the latter approach uses given transition probabilities, and hence is not able to produce feedback effects. Comparison of the modeling approaches allows analyzing the underlying dynamics and finding sufficiently flexible definitions for correct interpretations and valid simulations of the consequences of vaccination strategies against epidemics.
The aim of this work is to examine, define and interpret dynamic effects on the spread of epidemics through the use of different models. This approach is heavily based on the consequent application of agent based models, which simulate the spread of a disease as a consequence of transmission from person to person, and Markov models, which are based on stochastic processes. Thanks to its structure, the former approach is able to create real effects, while the latter approach uses given transition probabilities, and hence is not able to produce feedback effects. Comparison of the modeling approaches allows analyzing the underlying dynamics and finding sufficiently flexible definitions for correct interpretations and valid simulations of the consequences of vaccination strategies against epidemics.

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Florian Miksch dwh Simulation Servicesr Neustaiftgasse 57-59, 1070, Vienna, Austria Email: florian.miksch@dwh.at Prof. Dr. D. Murray-Smith (EUROSIM / ASIM) Prof. Dr. F. Breitenecker (ARGESIM / ASIM) Prof. Dr.-Ing. Th. Pawletta (ASIM)

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Details

ISBN: 9783903024212
Verlag: TU-MV Media Verlag
Erscheinung: 28.03.2016

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