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Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding

Received: 23 March 2014     Accepted: 14 April 2014     Published: 30 April 2014
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Abstract

This study was aimed at developing mathematical model of caprine arthritis encephalitis (CAE) and considering effective measures to prevent CAE’s infection spread. This model took account of the fluctuation of infection rate due to seasonal breeding. New CAE model was constructed based on the sexually transmitted disease (STD) model. The new model was implemented the new function represented cyclical changes of infection rate to include the changes of the seasonal breeding. And definition equation of basic reproductive numbers (R0) was constructed in reference previous study. In order to consider effective measures to prevent CAE’s infection, the spread of CAE’s infection was performed simulation.

Published in Animal and Veterinary Sciences (Volume 2, Issue 3)
DOI 10.11648/j.avs.20140203.13
Page(s) 70-74
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), 2014. Published by Science Publishing Group

Keywords

Caprine Arthritis Encephalitis (CAE), Mathematical Model, Simulation, Seasonal Breeding, Goat

References
[1] D. Thompson, P. Muriel, D. Russell, P. Osborne, A. Bromley,M. Rowland, S. Creigh-Tyteand C. Brown, “Economic costs of the foot and mouth diseaseoutbreak in the United Kingdom in 2001”, Rev. sci. tech. Off. int. Epiz., 21 (3),2002, 675-687
[2] Adams, D.S., Klevjer, A.P., Carlson, J.L., McGuire, T.C., Gorham,J.R., “Transmission and control of caprine arthritis–encephalitis virus”. American Journal ofVeterinaryResrch,44,1983,pp.1670–1675
[3] 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, pp. 433–442
[4] Kermack W. O. and A. G. McKendrick, “A Contribution to the Mathematical Theory of Epidemics,”Proc. Roy. Soc. of London. Series A,1932, Vol. 115, No. 772
[5] Mathematical model of infectious disease, Baifukan (in Japanese), 2008,pp. 232-233.
[6] Paul E. M. Fine : “Herd Immunity”, Epidemiologic Reviews, Vol.15, No.2 ,1993
Cite This Article
  • APA Style

    Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Takeshi Miyagi, Tsutomu Omatsu, et al. (2014). Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding. Animal and Veterinary Sciences, 2(3), 70-74. https://doi.org/10.11648/j.avs.20140203.13

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    ACS Style

    Teppei Hirata; Yoshihito Yonahara; Faramarz Asharif; Takeshi Miyagi; Tsutomu Omatsu, et al. Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding. Anim. Vet. Sci. 2014, 2(3), 70-74. doi: 10.11648/j.avs.20140203.13

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    AMA Style

    Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Takeshi Miyagi, Tsutomu Omatsu, et al. Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding. Anim Vet Sci. 2014;2(3):70-74. doi: 10.11648/j.avs.20140203.13

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  • @article{10.11648/j.avs.20140203.13,
      author = {Teppei Hirata and Yoshihito Yonahara and Faramarz Asharif and Takeshi Miyagi and Tsutomu Omatsu and Yasushi Shiroma and Tetsuya Mizutani and Yasunori Nagata and Shiro Tamaki},
      title = {Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding},
      journal = {Animal and Veterinary Sciences},
      volume = {2},
      number = {3},
      pages = {70-74},
      doi = {10.11648/j.avs.20140203.13},
      url = {https://doi.org/10.11648/j.avs.20140203.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.avs.20140203.13},
      abstract = {This study was aimed at developing mathematical model of caprine arthritis encephalitis (CAE) and considering effective measures to prevent CAE’s infection spread. This model took account of the fluctuation of infection rate due to seasonal breeding. New CAE model was constructed based on the sexually transmitted disease (STD) model. The new model was implemented the new function represented cyclical changes of infection rate to include the changes of the seasonal breeding. And definition equation of basic reproductive numbers (R0) was constructed in reference previous study. In order to consider effective measures to prevent CAE’s infection, the spread of CAE’s infection was performed simulation.},
     year = {2014}
    }
    

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    T1  - Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding
    AU  - Teppei Hirata
    AU  - Yoshihito Yonahara
    AU  - Faramarz Asharif
    AU  - Takeshi Miyagi
    AU  - Tsutomu Omatsu
    AU  - Yasushi Shiroma
    AU  - Tetsuya Mizutani
    AU  - Yasunori Nagata
    AU  - Shiro Tamaki
    Y1  - 2014/04/30
    PY  - 2014
    N1  - https://doi.org/10.11648/j.avs.20140203.13
    DO  - 10.11648/j.avs.20140203.13
    T2  - Animal and Veterinary Sciences
    JF  - Animal and Veterinary Sciences
    JO  - Animal and Veterinary Sciences
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    EP  - 74
    PB  - Science Publishing Group
    SN  - 2328-5850
    UR  - https://doi.org/10.11648/j.avs.20140203.13
    AB  - This study was aimed at developing mathematical model of caprine arthritis encephalitis (CAE) and considering effective measures to prevent CAE’s infection spread. This model took account of the fluctuation of infection rate due to seasonal breeding. New CAE model was constructed based on the sexually transmitted disease (STD) model. The new model was implemented the new function represented cyclical changes of infection rate to include the changes of the seasonal breeding. And definition equation of basic reproductive numbers (R0) was constructed in reference previous study. In order to consider effective measures to prevent CAE’s infection, the spread of CAE’s infection was performed simulation.
    VL  - 2
    IS  - 3
    ER  - 

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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

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

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

  • Department of Electrical and Electronic 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, Tokyo, Japan

  • Department of Electrical and Electronic 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

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