Culling structured hosts to eradicate vector-borne diseases

A compartmental model is developed, in the form of a nonautonomous system of delay differential equations subject to impulses at specific times, for mosquito-born disease control involving larvicides and insecticide sprays. Sufficient conditions in terms of the frequencies and rates of larvicides an...

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Bibliographic Details
Published inMathematical biosciences and engineering : MBE Vol. 6; no. 2; pp. 301 - 319
Main Authors Hu, Xinli, Liu, Yansheng, Wu, Jianhong
Format Journal Article
LanguageEnglish
Published United States AIMS Press 01.04.2009
Subjects
Animals
Computer Simulation
Culicidae - drug effects
Culicidae - virology
culling
delay
diseaseeradication
Humans
Insect Vectors - virology
Insecticides - administration & dosage
Models, Biological
Mosquito Control - methods
structured population
West Nile Fever - prevention & control
West Nile Fever - virology
west nile virus
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Summary:A compartmental model is developed, in the form of a nonautonomous system of delay differential equations subject to impulses at specific times, for mosquito-born disease control involving larvicides and insecticide sprays. Sufficient conditions in terms of the frequencies and rates of larvicides and insecticide sprays are derived, and numerical simulations are provided to illustrate the sharpness of these disease eradication conditions.
ISSN:1547-1063
1551-0018
DOI:10.3934/mbe.2009.6.301