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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.


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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gourley, Stephen
Liu, R.
Wu, J.
Date : 12 January 2007
DOI : 10.1137/050648717
Uncontrolled Keywords : stage-structure, epidemic, delay, traveling front, vector borne disease
Additional Information : Published in the SIAM Journal on Applied Mathematics, Vol 67(2) 408-433. © 2007, Society for Industrial and Applied Mathematics.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:40
Last Modified : 06 Jul 2019 05:06

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