Open AccessCulling structured hosts to eradicate vector-borne diseases
Author(s) -
Xinli Hu,
Yansheng Liu,
Jianhong Wu
Publication year - 2009
Publication title -
mathematical biosciences and engineering
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2009.6.301
Subject(s) - culling , vector (molecular biology) , disease control , differential equation , mathematics , control theory (sociology) , biology , toxicology , computer science , ecology , control (management) , artificial intelligence , microbiology and biotechnology , mathematical analysis , biochemistry , herd , gene , recombinant dna
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.