# American Institute of Mathematical Sciences

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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