MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION
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In the El Ocho Letras region, cattle ranching causes significant damage to vegetation, natural wetlands, and water resources. Thus, it is necessary to know and understand the transient behavior of the number of cattle of different age groups over time and the effect of exogenous variables on the system’s behavior. To this end, system dynamics is used to describe the behavior of the quantity of livestock on the Laguna Negra property, located in the El Ocho Letras region. The numbers of cattle of different ages during the life cycle were defined as variables. The animals pass through the different ages, each lasting one year. Time delays were used for the fluxes between the different ages. A control strategy was used for limiting the number o... Ver más
1794-1237
2463-0950
12
2016-02-25
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119
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
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MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION In the El Ocho Letras region, cattle ranching causes significant damage to vegetation, natural wetlands, and water resources. Thus, it is necessary to know and understand the transient behavior of the number of cattle of different age groups over time and the effect of exogenous variables on the system’s behavior. To this end, system dynamics is used to describe the behavior of the quantity of livestock on the Laguna Negra property, located in the El Ocho Letras region. The numbers of cattle of different ages during the life cycle were defined as variables. The animals pass through the different ages, each lasting one year. Time delays were used for the fluxes between the different ages. A control strategy was used for limiting the number of animals older than one year. A discrete time mathematical model was formulated and a simulation was performed, showing as a result a periodical oscillatory behavior for the evolution of the variables. Some of the main contributions of this study are related to: analyzing the effect of exogenous variables on the behavior of the level variables; proposing a control of the number of cattle older than one year based on the sale of female calves; and developing a discrete time mathematical model using the chain method with delayed fluxes. Rincón Santa María, Alejandro Flórez Yepes, Gloria Yaneth Redondo Ortegón, Johan Manuel Olivar Tost, Gerard system dynamics modeling delayed fluxes cattle. 12 24 Artículo de revista Journal article 2016-02-25 00:00:00 2016-02-25 00:00:00 2016-02-25 application/pdf Revista EIA / English version Revista EIA / English version 1794-1237 2463-0950 https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/911 https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/911 spa https://creativecommons.org/licenses/by-nc-sa/4.0/ 101 119 https://revistas.eia.edu.co/index.php/Reveiaenglish/article/download/911/824 info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 http://purl.org/redcol/resource_type/ARTREF info:eu-repo/semantics/publishedVersion http://purl.org/coar/version/c_970fb48d4fbd8a85 info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 Text Publication |
institution |
UNIVERSIDAD EIA |
thumbnail |
https://nuevo.metarevistas.org/UNIVERSIDADEIA/logo.png |
country_str |
Colombia |
collection |
Revista EIA / English version |
title |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION |
spellingShingle |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION Rincón Santa María, Alejandro Flórez Yepes, Gloria Yaneth Redondo Ortegón, Johan Manuel Olivar Tost, Gerard system dynamics modeling delayed fluxes cattle. |
title_short |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION |
title_full |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION |
title_fullStr |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION |
title_full_unstemmed |
MATHEMATICAL MODEL OF CATTLE DEMOGRAPHICS ON A FARM IN THE EL OCHO LETRAS REGION |
title_sort |
mathematical model of cattle demographics on a farm in the el ocho letras region |
description |
In the El Ocho Letras region, cattle ranching causes significant damage to vegetation, natural wetlands, and water resources. Thus, it is necessary to know and understand the transient behavior of the number of cattle of different age groups over time and the effect of exogenous variables on the system’s behavior. To this end, system dynamics is used to describe the behavior of the quantity of livestock on the Laguna Negra property, located in the El Ocho Letras region. The numbers of cattle of different ages during the life cycle were defined as variables. The animals pass through the different ages, each lasting one year. Time delays were used for the fluxes between the different ages. A control strategy was used for limiting the number of animals older than one year. A discrete time mathematical model was formulated and a simulation was performed, showing as a result a periodical oscillatory behavior for the evolution of the variables. Some of the main contributions of this study are related to: analyzing the effect of exogenous variables on the behavior of the level variables; proposing a control of the number of cattle older than one year based on the sale of female calves; and developing a discrete time mathematical model using the chain method with delayed fluxes.
|
author |
Rincón Santa María, Alejandro Flórez Yepes, Gloria Yaneth Redondo Ortegón, Johan Manuel Olivar Tost, Gerard |
author_facet |
Rincón Santa María, Alejandro Flórez Yepes, Gloria Yaneth Redondo Ortegón, Johan Manuel Olivar Tost, Gerard |
topicspa_str_mv |
system dynamics modeling delayed fluxes cattle. |
topic |
system dynamics modeling delayed fluxes cattle. |
topic_facet |
system dynamics modeling delayed fluxes cattle. |
citationvolume |
12 |
citationissue |
24 |
publisher |
Revista EIA / English version |
ispartofjournal |
Revista EIA / English version |
source |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/911 |
language |
spa |
format |
Article |
rights |
https://creativecommons.org/licenses/by-nc-sa/4.0/ info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 |
type_driver |
info:eu-repo/semantics/article |
type_coar |
http://purl.org/coar/resource_type/c_6501 |
type_version |
info:eu-repo/semantics/publishedVersion |
type_coarversion |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
type_content |
Text |
publishDate |
2016-02-25 |
date_accessioned |
2016-02-25 00:00:00 |
date_available |
2016-02-25 00:00:00 |
url |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/911 |
url_doi |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/911 |
issn |
1794-1237 |
eissn |
2463-0950 |
citationstartpage |
101 |
citationendpage |
119 |
url2_str_mv |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/download/911/824 |
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1811200277984837632 |