| 一类比率依赖具有Holling-III的捕食者-食饵系统的参数分析 |
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| 作者单位： | 仰恩大学数学系 |
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| 摘 要： | 研究了一类比率依赖的具有Holling第III类功能性反应的具有捕捞的两种群竞争模型,研究了系统的平衡点个数、局部稳定性和全局稳定性、极限环的存在性,并且用数值模拟描述得到一些结果。
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| 关 键 词： | 捕食者-食饵系统 比率依赖 Holling第III类功能性反应 捕捞 极限环 |
Parametric Analysis of a Ratio- Dependent Capture Predator-Prey Systems with Holling Type III Functional Response |
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| Authors: | YAN Bin |
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| Institution: | YAN Bin Department of Mathematics,Yang-En University,Quanzhou 362014,Fujian Provience,China |
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| Abstract: | In this paper,a ratio-dependent predator-prey system with Holling type III functional response is studied,focusing on its equilibrium number and stability.A global qualitative analysis of the model considering all parameters is carried out.Conditions for the existence of limit cycle for the model are obtained.In addition, some numerical simulations show the effectiveness of the obtained results. |
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| Keywords: | predator-prey system ratio-dependent response Holling type III functional response capture limit cycle |
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