Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis
American Journal of Theoretical and Applied Statistics
Volume 3, Issue 3, May 2014, Pages: 73-80
Received: Apr. 17, 2014; Accepted: May 14, 2014; Published: May 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
Shiro Tamaki, Department of Information Engineering, Faculty of Engineering, University of the Ryukyus, Nishihara town, Japan
Tsutomu Omatsu, 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
Tetsuya Mizutani, 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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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.
Keywords
Caprine Arthritis Encephalitis (CAE), Mathematical Model, Stability Analysis, Goat
To cite this article
Teppei Hirata, Yoshihito Yonahara, Faramarz Asharif, Shiro Tamaki, Tsutomu Omatsu, Tetsuya Mizutani, Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis, American Journal of Theoretical and Applied Statistics. Vol. 3, No. 3, 2014, pp. 73-80. doi: 10.11648/j.ajtas.20140303.13
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