Back to Search
Start Over
SOME VECTOR BORNE DISEASES WITH STRUCTURED HOST POPULATIONS: EXTINCTION AND SPATIAL SPREAD.
- Source :
-
SIAM Journal on Applied Mathematics . 2007, Vol. 67 Issue 2, p408-433. 26p. 1 Chart, 4 Graphs. - Publication Year :
- 2007
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 67
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 24818143
- Full Text :
- https://doi.org/10.1137/050648717