Traveling waves and spread rates for a West Nile virus model.

Full Abstract

A reaction-diffusion model for the spatial spread of West Nile virus is developed and analysed. Infection dynamics are based on a modified version of a model for cross infection between birds and mosquitoes (Wonham et al., 2004, An epidemiological model for West-Nile virus:
Invasion analysis and control application. Proc. R. Soc. Lond. B 271), and diffusion terms describe movement of birds and mosquitoes. Working with a simplified version of the model, the cooperative nature of cross-infection dynamics is utilized to prove the existence of traveling waves and to calculate the spatial spread rate of infection. Comparison theorem results are used to show that the spread rate of the simplified model may provide an upper bound for the spread rate of a more realistic and complex version of the model.

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Author information

Author/s: Lewis, Mark (M); Renclawowicz, Joanna (J); van den Driessche, P (P);

Affiliation: Department of Biological Sciences, University of Alberta, Edmonton, Canada, AB T6G 2G1. mlewis(-atsign-)math.ualberta.ca

Journal and publication information

Publication Type: Journal Article; Research Support, Non-U.S. Gov't

Journal: Bulletin of mathematical biology (Bull Math Biol), published in United States. (Language: eng)

Reference: 2006-Jan; vol 68 (issue 1) : pp 3-23

Dates: Created 2006/06/23; Completed 2006/08/02; Revised 2006/11/15;

PMID: 16794919, status: MEDLINE (last retrieval date: 12/26/2008)

Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.

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MeSH headings (categories)

This article was linked to the MESH Headings shown below.

Algorithms
Animal Migration
Animals
Birds - virology
Culicidae - virology

Humans
Models, Biological
North America - epidemiology
West Nile Fever - epidemiology; transmission; veterinary
West Nile virus - physiology

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