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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433


ROMEROL., JhoanaP. et al. Análisis de un modelo planta-herbívoro aplicado a la interacción gramínea-bovino. Rev. Mat [online]. 2016, vol.23, n.2, pp.489-506. ISSN 1409-2433.

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.

Keywords : grass; bovines; Hopf bifurcation; prey-predator model.

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