Analysis of a plant-herbivorous model applied to grass-bovine interaction
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| Auteurs: | , , , , |
|---|---|
| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2016 |
| Description: | 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. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/25287 |
| Accès en ligne: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/25287 |
| Mots-clés: | grass bovines Hopf bifurcation prey-predator model gramínea bovinos bifurcación de Hopf modelo presa-predador |