Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014, Article ID 786962, 6 pages
http://dx.doi.org/10.1155/2014/786962
Research Article

Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points

1College of Science, Hunan University of Technology, Zhuzhou, Hunan 412007, China
2College of Science, Linyi University, Linyi, Shandong 276005, China

Received 23 June 2014; Accepted 9 July 2014; Published 20 July 2014

Academic Editor: Tonghua Zhang

Copyright © 2014 Qi-Ming Zhang et al. 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

A class of planar cubic Kolmogorov systems with harvest and two positive equilibrium points is investigated. With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. Moreover, the necessary conditions of centers are obtained.