2006, 3(1): 145-160. doi: 10.3934/mbe.2006.3.145

Modeling spatial spread of west nile virus and impact of directional dispersal of birds

1. 

Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3, Canada

2. 

Public Health Agency of Canada, Division of Enteric, Foodborne and Waterborne Diseases, 160 Research Lane, Guelph, ON, N1G 5B2, Canada

Received  February 2005 Revised  June 2005 Published  November 2005

A patchy model for the spatial spread of West Nile virus is formulated and analyzed. The basic reproduction number is calculated and compared for different long-range dispersal patterns of birds, and simulations are carried out to demonstrate discontinuous or jump spatial spread of the virus when the birds' long-range dispersal dominates the nearest neighborhood interaction and diffusion of mosquitoes and birds.
Citation: Rongsong Liu, Jiangping Shuai, Jianhong Wu, Huaiping Zhu. Modeling spatial spread of west nile virus and impact of directional dispersal of birds. Mathematical Biosciences & Engineering, 2006, 3 (1) : 145-160. doi: 10.3934/mbe.2006.3.145
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