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Limit cycles in a general Kolmogorov model

✍ Scribed by Xun C. Huang; Lemin Zhu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
262 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

The problem of limit cycles is interesting and significant both in theory and applications. In mathematical ecology, finding models that display a stable limit cycle-an attracting stable self-sustained oscillation, is a primary work.

In this paper, a general Kolmogorov system, which includes the Gause-type model (Math. Biosci. 88 (1988) 67), the general predator-prey model (

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