Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding
Animal and Veterinary Sciences
Volume 2, Issue 3, May 2014, Pages: 70-74
Received: Mar. 23, 2014; Accepted: Apr. 14, 2014; Published: Apr. 30, 2014
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Authors
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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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.
Keywords
Caprine Arthritis Encephalitis (CAE), Mathematical Model, Simulation, Seasonal Breeding, Goat
To cite this article
Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Takeshi Miyagi, Tsutomu Omatsu, Yasushi Shiroma, Tetsuya Mizutani, Yasunori Nagata, Shiro Tamaki, Mathematical Model of Caprine Arthritis Encephalitis Considering the Seasonal Breeding, Animal and Veterinary Sciences. Vol. 2, No. 3, 2014, pp. 70-74. doi: 10.11648/j.avs.20140203.13
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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