Title: Thresholds in the optimal treatment of infected heterogeneous populations
Language: English
Authors: Hollick, Iris 
Qualification level: Diploma
Advisor: Veliov, Vladimir 
Issue Date: 2013
Number of Pages: 67
Qualification level: Diploma
Abstract: 
This thesis investigates thresholds in an epidemic, heterogenenous model and how they are in uenced by the heterogeneity. First aepidemical models is introduced, where it could be optimal to treat at a maximal possible level or not to treat at all, depending on the particular parameters and initial state. Therefore an homogeneous epidemiological model is presented, whose heterogeneity is introduced with respect to the time the individual is already infected. Afterwards the optimal control problem is introduced for a restricted, constant control variable. The fourth section presents thresholds, rstly in a homogeneous version of the heterogeneous model. Based on these results, heterogeneity is introduced to the model and it is investigated how the thresholds are changing for dierent distribution functions. Finally a sensitivity analysis is conducted with respect to the infectivity of the disease.
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-62922
http://hdl.handle.net/20.500.12708/2489
Library ID: AC11224596
Organisation: E105 - Institut für Wirtschaftsmathematik 
Publication Type: Thesis
Hochschulschrift
Appears in Collections:Thesis

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