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International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 555-566

Limit cycles in a Kolmogorov-type model

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

Received 2 June 1989; Revised 2 February 1990

Copyright © 1990 Hindawi Publishing Corporation. 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.


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.