One and three limit cycles in a cubic predator–prey system |
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| Authors: | Xuncheng Huang Yuanming Wang Lemin Zhu |
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| Institution: | 1. Yangzhou Polytechnic University, 12‐903 Hao Yue Yuan, Moon Park, Yangzhou 225012, ChinaYangzhou Polytechnic University, 12‐903 Hao Yue Yuan, Moon Park, Yangzhou 225012, China===;2. Yangzhou Polytechnic University, 12‐903 Hao Yue Yuan, Moon Park, Yangzhou 225012, China |
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| Abstract: | A cubic differential system is proposed, which can be considered a generalization of the predator–prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigated. The criterion is easy to apply in applications. Copyright © 2006 John Wiley & Sons, Ltd. |
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| Keywords: | cubic differential system three limit cycles predator– prey models |
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