An example from the world of tsetse flies

  • Received: 01 October 2012 Accepted: 29 June 2018 Published: 01 April 2013
  • MSC : Primary: 92.

  • In biomathematics, communication between mathematicians and biologists is crucial. This matter is illustrated using studies aimed at estimating mortality rates of tsetse flies (Glossina spp.). Examples are provided of apparently sound pieces of mathematics which, when applied to real data, provide obviously erroneous results. More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. Unless models account for the known biology of the problem under investigation, and are challenged with data, the existence and nature of imperfections in the models will likely not be detected.

    Citation: John Hargrove. An example from the world of tsetse flies[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 691-704. doi: 10.3934/mbe.2013.10.691

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  • In biomathematics, communication between mathematicians and biologists is crucial. This matter is illustrated using studies aimed at estimating mortality rates of tsetse flies (Glossina spp.). Examples are provided of apparently sound pieces of mathematics which, when applied to real data, provide obviously erroneous results. More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. Unless models account for the known biology of the problem under investigation, and are challenged with data, the existence and nature of imperfections in the models will likely not be detected.


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    [1] John Wiley & Sons, Chichester, 1977
    [2] Bulletin de la Société de Pathologie Exotique, 58 (1965), 250-259.
    [3] Bulletin of Entomological Research, 59 (1968), 651-658.
    [4] Medical and Veterinary Entomology, 3 (1989), 83-95.
    [5] Insect Science and its Application, 11 (1990), 323-330.
    [6] in "Management of Insect Pests: Nuclear and Related Molecular and Genetic Techniques", International Atomic Energy Agency, Vienna, (1993), 549-556.
    [7] Medical and Veterinary Entomology, 13 (1999), 165-176.
    [8] Entomologia Experimentalis et Applicata, 92 (1999), 89-99.
    [9] Entomologia Experimentalis et Applicata, 100 (2001), 151-164.
    [10] DFID Animal Health Programme, Edinburgh, UK, (2003), 133 + ix pp.
    [11] PowerPoint Presentation of a Talk Delivered at: Mathematical Methods in Systems Biology and Population Dynamics (4-7 January 2012, Cape Town, South Africa). Available from: http://www.sacema.com
    [12] Medical and Veterinary Entomology, 25 (2011), 385-394.
    [13] Acta Biotheoretica, 44 (1996), 317-33.
    [14] Bulletin of Entomological Research, 89 (1999), 515-521.
    [15] Biometrika, 52 (1965), 225-247.
    [16] Bulletin of Entomological Research, 58 (1968), 399-410.
    [17] Bulletin of the World Health Organisation, 46 (1972), 33-38.
    [18] Bulletin of Entomological Research, 62 (1973), 423-438.
    [19] Entomologia Experimentalis et Applicata, 12 (1969), 33-43.
    [20] Bulletin of Entomological Research, 64 (1974), 313-324.
    [21] Biometrika, 52 (1965), 249-259.
    [22] Charles Griffin & Co, London, 1982.
    [23] Bulletin of Entomological Research, 64 (1974), 545-588.
    [24] Bulletin of Entomological Research, 72 (1982), 71-93.
    [25] Bulletin of Entomological Research, 78 (1988), 51-61.
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