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Complexity
Volume 2017, Article ID 2578043, 12 pages
https://doi.org/10.1155/2017/2578043
Research Article

Delay-Induced Oscillations in a Competitor-Competitor-Mutualist Lotka-Volterra Model

Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China

Correspondence should be addressed to Changjin Xu; moc.621@304jcx

Received 14 January 2017; Accepted 30 March 2017; Published 26 April 2017

Academic Editor: Alicia Cordero

Copyright © 2017 Changjin Xu. 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.

Abstract

This paper deals with a competitor-competitor-mutualist Lotka-Volterra model. A series of sufficient criteria guaranteeing the stability and the occurrence of Hopf bifurcation for the model are obtained. Several concrete formulae determine the properties of bifurcating periodic solutions by applying the normal form theory and the center manifold principle. Computer simulations are given to support the theoretical predictions. At last, biological meaning and a conclusion are presented.