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.

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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
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Name Email ORCID Gourley, Stephen A s.gourley@surrey.ac.uk UNSPECIFIED Liu, Rongsong UNSPECIFIED UNSPECIFIED Wu, Jianhong UNSPECIFIED UNSPECIFIED
Date :	1 January 2007
Identification Number :	10.1137/050648717
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.
Depositing User :	Mr Adam Field
Date Deposited :	27 May 2010 14:40
Last Modified :	17 May 2017 14:21
URI:	http://epubs.surrey.ac.uk/id/eprint/1384

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