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

  • Received: 01 February 2005 Accepted: 29 June 2018 Published: 01 November 2005
  • MSC : 92D30.

  • 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[J]. Mathematical Biosciences and Engineering, 2006, 3(1): 145-160. doi: 10.3934/mbe.2006.3.145

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  • 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.


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