American Journal of Theoretical and Applied Statistics

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Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis

Received: 17 April 2014    Accepted: 14 May 2014    Published: 30 May 2014
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Abstract

A mathematical model of Caprine arthritis encephalitis (CAE) that has a great economic impact in goat farming was investigated. Infection route of CAE virus is mainly by vertical transmission through breast milk. Droplet infection and sexual infection is known as other transmission path. From these facts, mathematical model of CAE was created based on the model of spread of sexually transmitted disease (STD) in the human case. The model is analyzed to determine the stability.

DOI 10.11648/j.ajtas.20140303.13
Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 3, May 2014)
Page(s) 73-80
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Caprine Arthritis Encephalitis (CAE), Mathematical Model, Stability Analysis, Goat

References
[1] Adams, D.S., Klevjer, A.P., Carlson, J.L., McGuire, T.C., Gorham,J.R., “Transmission and control of caprine arth-ritis–encephalitis virus”. Am. J. Vet. Res. 44, 1670–1675,1983.J. Clerk Maxwell, A Treatise on Elec-tricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.
[2] K. Peterson, J. Brinkhof, D.J. Houwers, B. Colenbrander, B.M. Gadella “Presence of pro-lentiviral DNA in male sexual organs and ejaculates of small ruminant” Theriogenology 69 (2008) 433–442
[3] Kermack W. O. and A. G. McKendrick, “A Contribution to the Mathematical Theory of Epidem-ics,”Proc. Roy. Soc. of London. Series A, Vol. 115, No. 772 (Aug. 1, 1927), pp. 700-721K. Elissa, “Title of paper if known,” unpublished.
[4] Mathematical model of infectious disease, Baifukan (in Japanese), pp. 232-233, 2008.
[5] G. Eason, B. Noble, and I. N. Sneddon, “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529–551, April 1955. (refer-ences)
[6] J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.
[7] I. S. Jacobs and C. P. Bean, “Fine par-ticles, thin films and exchange anisotropy,” in Magnet-ism, vol. III, G. T. Rado and H. Suhl, Eds. New York: Aca-demic, 1963, pp. 271–350.
[8] K. Elissa, “Title of paper if known,” unpublished.
[9] R. Nicole, “Title of paper with only first word capitalized,” J. Name Stand. Abbrev., in press.
[10] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy studies on mag-neto-optical media and plastic substrate interface,” IEEE Transl. J. Magn. Japan, vol. 2, pp. 740–741, August 1987 [Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].
[11] M. Young, The Technical Writer's Hand-book. Mill Valley, CA: University Science, 198.
Author Information
  • Department of Information Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan

  • Department of Information Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan

  • Department of Information Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan

  • Department of Information Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan

  • Research and Education Center for Prevention of Global Infectious Disease of Animals, Faculty of Agriculture, Tokyo University of Agriculture and Technology, Fuchu-shi, Tokyo, Japan

  • Research and Education Center for Prevention of Global Infectious Disease of Animals, Faculty of Agriculture, Tokyo University of Agriculture and Technology, Fuchu-shi, Tokyo, Japan

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  • APA Style

    Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Shiro Tamaki, Tsutomu Omatsu, et al. (2014). Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis. American Journal of Theoretical and Applied Statistics, 3(3), 73-80. https://doi.org/10.11648/j.ajtas.20140303.13

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    ACS Style

    Teppei Hirata; Yoshihito Yonahara; Faramarz Asharif; Shiro Tamaki; Tsutomu Omatsu, et al. Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis. Am. J. Theor. Appl. Stat. 2014, 3(3), 73-80. doi: 10.11648/j.ajtas.20140303.13

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    AMA Style

    Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Shiro Tamaki, Tsutomu Omatsu, et al. Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis. Am J Theor Appl Stat. 2014;3(3):73-80. doi: 10.11648/j.ajtas.20140303.13

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  • @article{10.11648/j.ajtas.20140303.13,
      author = {Teppei Hirata and Yoshihito Yonahara and Faramarz Asharif and Shiro Tamaki and Tsutomu Omatsu and Tetsuya Mizutani},
      title = {Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {3},
      number = {3},
      pages = {73-80},
      doi = {10.11648/j.ajtas.20140303.13},
      url = {https://doi.org/10.11648/j.ajtas.20140303.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.20140303.13},
      abstract = {A mathematical model of Caprine arthritis encephalitis (CAE) that has a great economic impact in goat farming was investigated. Infection route of CAE virus is mainly by vertical transmission through breast milk. Droplet infection and sexual infection is known as other transmission path. From these facts, mathematical model of CAE was created based on the model of spread of sexually transmitted disease (STD) in the human case. The model is analyzed to determine the stability.},
     year = {2014}
    }
    

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    AU  - Teppei Hirata
    AU  - Yoshihito Yonahara
    AU  - Faramarz Asharif
    AU  - Shiro Tamaki
    AU  - Tsutomu Omatsu
    AU  - Tetsuya Mizutani
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    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajtas.20140303.13
    AB  - A mathematical model of Caprine arthritis encephalitis (CAE) that has a great economic impact in goat farming was investigated. Infection route of CAE virus is mainly by vertical transmission through breast milk. Droplet infection and sexual infection is known as other transmission path. From these facts, mathematical model of CAE was created based on the model of spread of sexually transmitted disease (STD) in the human case. The model is analyzed to determine the stability.
    VL  - 3
    IS  - 3
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