Bergische Universität Wuppertal Fachbereich Mathematik und Naturwissenschaften Angewandte Mathematik - Numerische Analysis

People Research Publications Teaching

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Mathematical Modelling of Dengue Fever Epidemics

Bachelor Thesis Mathematics

Betreuung

• Prof. Dr. Matthias Ehrhardt
• Prof. Dr. Michael Günther

Kooperation

• Prof. Dr. med. H. Brunner
• Prof. Dr. A. Dalhoff (Bayer AG, Wuppertal)

Description

Questions

Key Words

discrete models of epidemics, disease outbreaks

Literature:

1. L. Cai, S. Guo, X. Li, M. Ghosh, Global dynamics of a dengue epidemic mathematical model, Chaos, Solitons & Fractals 42 (2009), 2297-2304.
2. M. Derouich, A. Boutayeb, E.H. Twizell, A model of dengue fever, Biomed. Eng. Online 2 (2003) 4.
3. M. Derouich, A. Boutayeb, Dengue fever: Mathematical modelling and computer simulation, Appl. Math. Comput. 177 (2006), 528-544.
4. L. Esteva, C. Vargas, Analysis of a dengue disease transmission model, Math. Biosci. 150 (1998), 131-151.
5. L. Esteva, C. Vargas, A model for dengue disease with variable human population, J. Math. Biol. 38 (1999), 220-240.
6. Z. Feng, V. Vealsco-Hernandez, Competitive exclusion in a vector-host model for the dengue fever, J. Math. Biol. 35 (1997) 523-544.
7. A. Tran, M. Raffy, On the dynamics of dengue epidemics from large-scale information, Theoret. Popul. Biol. 69 (2006), 3-12.