Coexistence in a One-Predator, Two-Prey System with Indirect Effects

We study the dynamics of a one-predator, two-prey system in which the predator has an indirect effect on the preys. We show that, in presence of the indirect effect term, the system admits coexistence of the three populations while, if we disregard it, at least one of the populations goes to extinct...

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Main Author: Renato Colucci
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/625391
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author Renato Colucci
author_facet Renato Colucci
author_sort Renato Colucci
collection DOAJ
description We study the dynamics of a one-predator, two-prey system in which the predator has an indirect effect on the preys. We show that, in presence of the indirect effect term, the system admits coexistence of the three populations while, if we disregard it, at least one of the populations goes to extinction.
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institution Kabale University
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publishDate 2013-01-01
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series Journal of Applied Mathematics
spelling doaj-art-02ca5370b5bb4dcc8bbad48ff5ca58772025-08-20T03:54:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/625391625391Coexistence in a One-Predator, Two-Prey System with Indirect EffectsRenato Colucci0Pontificia Universidad Javeriana, Carrera 7 No. 43-82, Bogotá, ColombiaWe study the dynamics of a one-predator, two-prey system in which the predator has an indirect effect on the preys. We show that, in presence of the indirect effect term, the system admits coexistence of the three populations while, if we disregard it, at least one of the populations goes to extinction.http://dx.doi.org/10.1155/2013/625391
spellingShingle Renato Colucci
Coexistence in a One-Predator, Two-Prey System with Indirect Effects
Journal of Applied Mathematics
title Coexistence in a One-Predator, Two-Prey System with Indirect Effects
title_full Coexistence in a One-Predator, Two-Prey System with Indirect Effects
title_fullStr Coexistence in a One-Predator, Two-Prey System with Indirect Effects
title_full_unstemmed Coexistence in a One-Predator, Two-Prey System with Indirect Effects
title_short Coexistence in a One-Predator, Two-Prey System with Indirect Effects
title_sort coexistence in a one predator two prey system with indirect effects
url http://dx.doi.org/10.1155/2013/625391
work_keys_str_mv AT renatocolucci coexistenceinaonepredatortwopreysystemwithindirecteffects