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Mathematische Modellierung von epidemiologischen Prozessen am Beispiel von Dengue Fieber by Yigit, Rojbine

Mathematische Modellierung von epidemiologischen Prozessen am Beispiel von Dengue Fieber

by Rojbine Yigit
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Book cover type: Paperback
  • ISBN13: 9783346518026
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Publication Date:
  • Pages: 50
  • Original Price: USD 39.5
  • Language: German
  • Edition: 1. Auflage
  • Item Weight: 78 grams
  • BISAC Subject(s): Reference

Bachelorarbeit aus dem Jahr 2019 im Fachbereich Mathematik - Angewandte Mathematik, Note: 1,3, Freie Universität Berlin, Sprache: Deutsch, Abstract: Die Arbeit gibt einen Überblick über das mathematische SIR-Modell, welches in der Epidemiologie zum Verständnis von epidemischen Verläufen verwendet wird. Das Ziel der Bachelorarbeit ist es, die Anwendbarkeit der Modelle zu untersuchen und damit verbunden die Stärken und Schwächen der Modelle auszuarbeiten. Dabei werden zwei unterschiedliche SIR-Modelle, welche speziell für das Dengue Fieber entwickelt worden sind, vorgestellt und mithilfe der Modelle werden numerische Experimente durchgeführt. Au erdem wird der Verlauf des Dengue Fiebers in Selangor, Malaysia aus dem Jahre 2008 nachmodelliert. Hierbei wird deutlich, dass die Modellierung der Realität eine gro e Schwierigkeit darstellt und beide Modelle unterschiedliche Verläufe darstellen. Das Derouich Modell weist in den Simulationen unterschiedlicher Szenarien eine gro e Schwäche auf, da mehr Menschen erkranken, als in der Gesamtpopulation vorhanden sind. Die Simulation der Epidemie in Selangor mithilfe des Feng Modells hingegen erreicht enorm hohe Zahlen an infizierten Menschen, die nicht der Realität entsprechen.

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