International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 555-566
doi:10.1155/S0161171290000795

Limit cycles in a Kolmogorov-type model

Xun-Cheng Huang

Department of Mathematics, New Jersey Institute of Technology, Newark 07102, New Jersey, USA

Abstract

In this paper, a Kolmogorov-type model, which includes the Gause-type model (Kuang and Freedman, 1988), the general predator-prey model (Huang 1988, Huang and Merrill 1989), and many other specialized models, is studied. The stability of equilibrium points, the existence and uniqueness of limit cycles in the model are proved.