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

 

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Autoři: Romero L., Jhoana P., Ibargüen, Eduardo, Pulgarín, Alejandro, Cordero, Deyber, Castaño, Ingrid P.
Médium: artículo original
Stav:Versión publicada
Datum vydání:2016
Popis: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.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/25287
On-line přístup:https://revistas.ucr.ac.cr/index.php/matematica/article/view/25287
Klíčové slovo:grass
bovines
Hopf bifurcation
prey-predator model
gramínea
bovinos
bifurcación de Hopf
modelo presa-predador