Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding

Teppei Hirata; Yoshihito Yonahara; Faramarz Asharif; Takeshi Miyagi; Tsutomu Omatsu; Yasushi Shiroma; Tetsuya Mizutani; Yasunori Nagata; Shiro Tamaki

doi:doi:10.11648/j.avs.20140203.13

Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding

Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Takeshi Miyagi, Tsutomu Omatsu, Yasushi Shiroma, Tetsuya Mizutani, Yasunori Nagata, Shiro Tamaki

Published in Animal and Veterinary Sciences (Volume 2, Issue 3)

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

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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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TY  - JOUR
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
SP  - 70
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

Teppei Hirata

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

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

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

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

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

Department of Electrical and Electronic Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan
Tetsuya Mizutani

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

Department of Electrical and Electronic Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan
Shiro Tamaki

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

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Plain Text BibTeX RIS

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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TY  - JOUR
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
SP  - 70
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  -

Copy | Download