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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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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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.
AbstractList 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.
A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. Sufficient conditions in terms ofthe frequencies and rates of larvicides and insecticide sprays arederived, and numerical simulations are provided to illustrate thesharpness of these disease eradication conditions.
Author Wu, Jianhong
Hu, Xinli
Liu, Yansheng
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BackLink https://www.ncbi.nlm.nih.gov/pubmed/19364154$$D View this record in MEDLINE/PubMed
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CitedBy_id crossref_primary_10_1098_rspb_2023_2432
crossref_primary_10_1016_j_nonrwa_2020_103273
crossref_primary_10_3389_fcimb_2019_00223
crossref_primary_10_3934_dcdsb_2021239
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Snippet A compartmental model is developed, in the form of a nonautonomous system of delay differential equations subject to impulses at specific times, for...
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StartPage 301
SubjectTerms 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
Title Culling structured hosts to eradicate vector-borne diseases
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