Abstract

RINCON SANTAMARIA, Alejandro; FLOREZ YEPES, Gloria Yaneth; REDONDO ORTEGON, Johan Manuel  and  OLIVAR TOST, Gerard. MATHEMATICAL MODEL OF LIVESTOCK DEMOGRAPHY IN A FARM OF EL OCHO LETRAS REGION. Rev.EIA.Esc.Ing.Antioq [online]. 2015, n.24, pp.101-119. ISSN 1794-1237.

In El Ocho Letras region, livestock farming has significative influence on the degradation of vegetation, natural wetlands, and water resources. Thus, it is necessary to know and understand the transient behavior of the number of heads of cattle for the different age groups, and the effect of exogenous variables on the system behavior. To this end, System Dynamics is used in order to describe the behavior of the quantity of livestock of Laguna Negra property, located in El Ocho Letras region. Different livestock variables were defined, and each variable consists of the number of animals for a life age. The animals pass through the different ages, and they stay for one year in each. 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 simulation was performed, giving as result an oscillatory behavior for the evolution of the variables.

Keywords : System Dynamics; Modeling; Delayed Fluxes; Livestock.

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