Relative positions of limit cycles in a Kolmogorov-type system

Document Type

Article

Publication Date

12-1-1989

Abstract

To estimate the relative position of limit cycles for a system is always useful in the qualitative analysis of the system. If the system has only one limit cycle, determining the position of the limit cycle is more important. The author constructs an annular region containing all the limit cycles for a Kolmogorov-type system. Since the system contains the Lotka-Volterra, Gausse, Kuang and Freedman, and Huang models as special cases, the results obtained are also valid for those models. Furthermore, the approach to the location of limit cycles is very applicable because the region is easy to compute.

Identifier

28244476716 (Scopus)

Publication Title

Journal of Physics A General Physics

External Full Text Location

https://doi.org/10.1088/0305-4470/22/8/002

ISSN

03054470

First Page

L317

Last Page

L322

Issue

8

Volume

22

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