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Mathematical Epidemiology pp 365–390Cite as

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A Comparative Analysis of Models for West Nile Virus

A Comparative Analysis of Models for West Nile Virus

  • M. J. Wonham7 &
  • M. A. Lewis7 
  • Chapter
  • 13k Accesses

  • 9 Citations

Part of the Lecture Notes in Mathematics book series (LNMBIOS,volume 1945)

This chapter describes the steps needed to formulate, analyze and apply epidemiological models to vector-borne diseases. Our models focus on West Nile (WN) virus, an emerging infectious disease in North America, first identified in Africa. We begin by introducing a minimalist model for WN dynamics to illustrate the processes of model formulation, analysis, and application. We then revisit the question of model formulation to examine how two major biological assumptions affect the model structure and therefore its predictions. Next, we briefly compare these different model structures in an introductory exercise of model parameterization, validation, and comparison. Finally, we address model applications in more detail with two examples of how the model output can usefully be connected to public health applications.

Keywords

  • West Nile Virus
  • Mass Action
  • Reproduction Number
  • Mosquito Population
  • Basic Reproduction Number

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. Centre for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    M. J. Wonham & M. A. Lewis

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  1. M. J. Wonham
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B.C. V6T 1Z2, Canada

    Fred Brauer

  2. Department of Mathematics and Statistics, University of Victoria, 3060 STN CSC, Victoria, B.C. V8W 3R4, Canada

    Pauline van den Driessche

  3. Center for Disease Modeling Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3, Canada

    Jianhong Wu

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© 2008 Springer-Verlag Berlin Heidelberg

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Wonham, M.J., Lewis, M.A. (2008). A Comparative Analysis of Models for West Nile Virus. In: Brauer, F., van den Driessche, P., Wu, J. (eds) Mathematical Epidemiology. Lecture Notes in Mathematics, vol 1945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78911-6_14

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