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Mathematical Biosciences and Engineering

2009, Volume 6, Issue 2: 301-319. doi: 10.3934/mbe.2009.6.301
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Culling structured hosts to eradicate vector-borne diseases

  • 1.
    Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049
  • 2.
    Department of Mathematics, Shandong Normal University, Jinan, 250014
  • 3.
    Center for Disease Modeling, York University, Toronto, Ontario, M3J 1P3
  • 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

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  • 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.


  • This article has been cited by:

    1. MOUHAMADOU SAMSIDY GOUDIABY, GUNILLA KREISS, A RIEMANN PROBLEM AT A JUNCTION OF OPEN CANALS, 2013, 10, 0219-8916, 431, 10.1142/S021989161350015X
    2. Jean-Marc Herard, 2012, The Coupling of Multi-phase Flow Models, 978-1-60086-933-4, 10.2514/6.2012-3357
    3. Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch, Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure, 2021, 16, 1556-181X, 283, 10.3934/nhm.2021007
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  • © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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