Journal of Applied Mathematics
Volume 2013 (2013), Article ID 625391, 13 pages
Research Article

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

Pontificia Universidad Javeriana, Carrera 7 No. 43-82, Bogotá, Colombia

Received 26 October 2012; Accepted 27 February 2013

Academic Editor: Erik Van Vleck

Copyright © 2013 Renato Colucci. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the dynamics of aone-predator, two-preysystem 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.