Analysis of a plant-herbivorous model applied to grass-bovine interaction

 

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Autori: Romero L., Jhoana P., Ibargüen, Eduardo, Pulgarín, Alejandro, Cordero, Deyber, Castaño, Ingrid P.
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2016
Descrizione:In this work we describe an interspecific interaction dynamics between grass and bovines through a predator-prey model with a functional response of Holling tipe II. Qualitative analysis reveals the existence of a supercritical Hopf bifurcation with decreasing bifurcation parameter correlated with three equilibrium solutions: the trivial equilibrium without species, the equilibrium only with grass and the equilibrium of coexistence between the both species. These results were validated with statistical data from research conducted in the Caribbean region and interandinos valleys of Colombia. They show the relevance of grass sustainable consumption by bovines.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/25287
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/25287
Keyword:grass
bovines
Hopf bifurcation
prey-predator model
gramínea
bovinos
bifurcación de Hopf
modelo presa-predador