Mathematical modelling of cholera in river systems

Esben Philip Lind Kramer, Lars Malik Richardt Thrane & Kevin Weiss

Studenteropgave: Semesterprojekt

Abstrakt

This project is based around the analysis of a mathematical description of V. cholerae epidemics in cities connected by a river system. The stability analysis is descriped step by step to give the reader a thourough understanding of the material. A Matlab package has been coded and is included in full in the appendix. The program is explained superficially in the project. The usefulness of the model is discussed in regards to the parameters needed, and the results reached by an artificial scenario calculated by the program. It becomes evident that there are some problems with the current model, due to several parameters that needs to be calibrated to specific outbreaks after they occur. This is mainly caused by a lack of understanding of the bacteria. Some problems concerning the calculations in Matlab are uncovered, which will result in an error that grows over longer timespans.

UddannelserMatematik, (Bachelor/kandidatuddannelse) Bachelor el. kandidat
SprogEngelsk
Udgivelsesdato14 jan. 2010
VejledereViggo Andreasen

Emneord

  • Cholera
  • model