Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points
A class of planar cubic Kolmogorov systems with harvest and two positive equilibrium points is investigated. With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the fir...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/786962 |
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| _version_ | 1832548097863974912 |
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| author | Qi-Ming Zhang Feng Li Yulin Zhao |
| author_facet | Qi-Ming Zhang Feng Li Yulin Zhao |
| author_sort | Qi-Ming Zhang |
| collection | DOAJ |
| description | A class of planar cubic Kolmogorov systems with harvest and two positive equilibrium points is investigated. With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. Moreover, the necessary conditions of centers are obtained. |
| format | Article |
| id | doaj-art-fc31b22da9804323814a36e7f2d6b264 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fc31b22da9804323814a36e7f2d6b2642025-02-03T06:42:19ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/786962786962Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium PointsQi-Ming Zhang0Feng Li1Yulin Zhao2College of Science, Hunan University of Technology, Zhuzhou, Hunan 412007, ChinaCollege of Science, Linyi University, Linyi, Shandong 276005, ChinaCollege of Science, Hunan University of Technology, Zhuzhou, Hunan 412007, ChinaA class of planar cubic Kolmogorov systems with harvest and two positive equilibrium points is investigated. With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. Moreover, the necessary conditions of centers are obtained.http://dx.doi.org/10.1155/2014/786962 |
| spellingShingle | Qi-Ming Zhang Feng Li Yulin Zhao Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points Abstract and Applied Analysis |
| title | Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points |
| title_full | Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points |
| title_fullStr | Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points |
| title_full_unstemmed | Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points |
| title_short | Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points |
| title_sort | limit cycles in a cubic kolmogorov system with harvest and two positive equilibrium points |
| url | http://dx.doi.org/10.1155/2014/786962 |
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