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.
Published in | American Journal of Theoretical and Applied Statistics (Volume 3, Issue 3) |
DOI | 10.11648/j.ajtas.20140303.13 |
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), 2014. Published by Science Publishing Group |
Caprine Arthritis Encephalitis (CAE), Mathematical Model, Stability Analysis, Goat
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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
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
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
@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://article.sciencepublishinggroup.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} }
TY - JOUR T1 - Stability Analysis of Mathematical Model of Caprine Arthritis Encephalitis AU - Teppei Hirata AU - Yoshihito Yonahara AU - Faramarz Asharif AU - Shiro Tamaki AU - Tsutomu Omatsu AU - Tetsuya Mizutani Y1 - 2014/05/30 PY - 2014 N1 - https://doi.org/10.11648/j.ajtas.20140303.13 DO - 10.11648/j.ajtas.20140303.13 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 73 EP - 80 PB - Science Publishing Group SN - 2326-9006 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 ER -