Transmission dynamics and spatial spread of vector borne diseases: Modelling, prediction and control
In this thesis, we study the transmission dynamics and spatial spread of vector borne diseases using mathematical models incorporating different factors, contributing to the com¬plicated transmission dynamics and spatiotemporal spread patterns of vector borne diseases. We focus on the demographic an...
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| Tác giả chính: | |
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| Định dạng: | Luận án |
| Ngôn ngữ: | en_US |
| Thông tin xuất bản: |
York University
2007
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| Chủ đề: | |
| Truy cập trực tuyến: | http://ir.vnulib.edu.vn/handle/123456789/1191 |
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| Tóm tắt: | In this thesis, we study the transmission dynamics and spatial spread of vector borne diseases using mathematical models incorporating different factors, contributing to the com¬plicated transmission dynamics and spatiotemporal spread patterns of vector borne diseases. We focus on the demographic and disease ages of hosts, the culling structured by the age of the vector, the spatial movement of the disease hosts, and the heterogeneity in host populations. We address the above issues and the relevant modeling and analysis techniques via a detailed case studying of the invasion and spread of West Nile virus in North America. Models involved and developed include patchy models with both long-range and short-range dispersal, delay differential systems, non-local delayed reaction diffusion equations and impulsive differential equations. We develop necessary mathematical techniques, and carry out qualitative analysis and numerical simulations to describe the transmission dynamics and spatiotemporal patterns of disease spread. |
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