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Some vector borne diseases with structured host populations: extinction and spatial spread

Gourley, Stephen A., Liu, R. and Wu, J. (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 semiflows. 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: Published in the SIAM Journal on Applied Mathematics, Vol 67(2) 408-433. © 2007, Society for Industrial and Applied Mathematics.
Uncontrolled Keywords: stage-structure, epidemic, delay, traveling front, vector borne disease
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/1417

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