Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9718275 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 22 Pages |
Abstract
In this paper, a general Kolmogorov system, which includes the Gause-type model (Math. Biosci. 88 (1988) 67), the general predator-prey model (J. Phys. A: Math. Gen. 21 (1988) L685; Math. Biosci. 96 (1989) 47), and many other models (J. Biomath. 15(3) (2001) 266; J. Biomath. 16(2) (2001) 156; J. Math. 21(22) (2001) 145), is studied. The conditions for the existence and uniqueness of limit cycles in this model are proved. Some known results are easily derived as an illustration of our work.
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Authors
Xun C. Huang, Lemin Zhu,