Modeling spatial spread of west nile virus and impact of directional dispersal of birds
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 th...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-10-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.145 |
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| _version_ | 1832590279365885952 |
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| author | Rongsong Liu Jiangping Shuai Jianhong Wu Huaiping Zhu |
| author_facet | Rongsong Liu Jiangping Shuai Jianhong Wu Huaiping Zhu |
| author_sort | Rongsong Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b0aa7a217e9644cd950be7781775caf7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b0aa7a217e9644cd950be7781775caf72025-01-24T01:51:11ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-10-013114516010.3934/mbe.2006.3.145Modeling spatial spread of west nile virus and impact of directional dispersal of birdsRongsong Liu0Jiangping Shuai1Jianhong Wu2Huaiping Zhu3Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3Public Health Agency of Canada, Division of Enteric, Foodborne and Waterborne Diseases, 160 Research Lane, Guelph, ON, N1G 5B2Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3A 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.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.145transmissionspatial control.west nile virus (wnv)mosquitoes and birdsreproduction numberdifferential equationspatch model |
| spellingShingle | Rongsong Liu Jiangping Shuai Jianhong Wu Huaiping Zhu Modeling spatial spread of west nile virus and impact of directional dispersal of birds Mathematical Biosciences and Engineering transmission spatial control. west nile virus (wnv) mosquitoes and birds reproduction number differential equations patch model |
| title | Modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| title_full | Modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| title_fullStr | Modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| title_full_unstemmed | Modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| title_short | Modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| title_sort | modeling spatial spread of west nile virus and impact of directional dispersal of birds |
| topic | transmission spatial control. west nile virus (wnv) mosquitoes and birds reproduction number differential equations patch model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.145 |
| work_keys_str_mv | AT rongsongliu modelingspatialspreadofwestnilevirusandimpactofdirectionaldispersalofbirds AT jiangpingshuai modelingspatialspreadofwestnilevirusandimpactofdirectionaldispersalofbirds AT jianhongwu modelingspatialspreadofwestnilevirusandimpactofdirectionaldispersalofbirds AT huaipingzhu modelingspatialspreadofwestnilevirusandimpactofdirectionaldispersalofbirds |