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.
Citation: Xinli Hu, Yansheng Liu, Jianhong Wu. Culling structured hosts to eradicate vector-borne diseases[J]. Mathematical Biosciences and Engineering, 2009, 6(2): 301-319. doi: 10.3934/mbe.2009.6.301
Abstract
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.