Limit cycles in a Kolmogorov-type model
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 cycl...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290000795 |
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| _version_ | 1832548492931760128 |
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| author | Xun-Cheng Huang |
| author_facet | Xun-Cheng Huang |
| author_sort | Xun-Cheng Huang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cf376b79164d4424846a39144518f7ab |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cf376b79164d4424846a39144518f7ab2025-02-03T06:14:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113355556610.1155/S0161171290000795Limit cycles in a Kolmogorov-type modelXun-Cheng Huang0Department of Mathematics, New Jersey Institute of Technology, Newark 07102, New Jersey, USAIn 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.http://dx.doi.org/10.1155/S0161171290000795Kolmogorov modelpredator-prey modellimit cycles. |
| spellingShingle | Xun-Cheng Huang Limit cycles in a Kolmogorov-type model International Journal of Mathematics and Mathematical Sciences Kolmogorov model predator-prey model limit cycles. |
| title | Limit cycles in a Kolmogorov-type model |
| title_full | Limit cycles in a Kolmogorov-type model |
| title_fullStr | Limit cycles in a Kolmogorov-type model |
| title_full_unstemmed | Limit cycles in a Kolmogorov-type model |
| title_short | Limit cycles in a Kolmogorov-type model |
| title_sort | limit cycles in a kolmogorov type model |
| topic | Kolmogorov model predator-prey model limit cycles. |
| url | http://dx.doi.org/10.1155/S0161171290000795 |
| work_keys_str_mv | AT xunchenghuang limitcyclesinakolmogorovtypemodel |