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Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread

Gourley, Stephen A, Liu, Rongsong and Wu, Jianhong (2007) Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread SIAM Journal on Applied Mathematics, 67 (2). pp. 408-433. ISSN 00361399

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Abstract

We derive from a structured population model a system of delay differential equations describing the interaction of five subpopulations, namely susceptible and infected adult and juvenile reservoirs and infected adult vectors, for a vector borne disease with particular reference to West Nile virus, and we also incorporate spatial movements by considering the analogue reaction diffusion systems with nonlocal delayed terms. Specific conditions for the disease eradication and sharp conditions for the local stability of the disease-free equilibrium are obtained using comparison techniques coupled with the spectral theory of monotone linear semi flows. A formal calculation of the minimal wave speed for the traveling waves is given and compared with field observation data.

Item Type: Article
Additional Information: Gourley, S. A., Liu, R., and Wu, J. (2007) Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread. <i>SIAM Journal on Applied Mathematics,</i> Vol. 67, No. 2., pp. 408-433. &amp;copy 2007 Society for Industrial and Applied Mathematics Click <a href=http://www.siam.org/journals/siap.php >here</a> to access the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1384

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