| 食饵具有常数投放率的Holling-IV类捕食系统的定性分析 |
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| 引用本文： | 王清娟.食饵具有常数投放率的Holling-IV类捕食系统的定性分析[J].延边大学理工学报,2018,0(3):213-216. |
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| 作者姓名： | 王清娟 |
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| 作者单位： | ( 阳光学院 基础教研部, 福建 福州 350015 ) |
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| 摘 要： | 通过对一类食饵种群具有常数投放率的Holling-IV类捕食系统的等倾线性态进行分析,给出了该系统平衡点存在的条件,并分析了平衡点的稳定性.运用Poincare-Bendixson环域定理和极限环唯一性定理得到了系统正平衡点周围存在唯一极限环的充分条件.
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| 关 键 词： | Holling-IV类功能反应函数 投放率 平衡点 极限环 |
Qualitative analysis of predator-prey system with constant rate stocking for prey under Holling-IV functional response |
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| WANG Qingjuan.Qualitative analysis of predator-prey system with constant rate stocking for prey under Holling-IV functional response[J].Journal of Yanbian University (Natural Science),2018,0(3):213-216. |
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| Authors: | WANG Qingjuan |
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| Affiliation: | ( Department of Basic Teaching and Research, Yango University, Fuzhou 350015, China ) |
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| Abstract: | The conditions for the existence of the equilibrium point are discussed by using isoclines shape for a class of predator-prey system with constant rate stocking for prey under Holling-IV functional response. The stability of the equilibrium point are analysed. The sufficient conditions for the uniqueness of the limit cycle around the positive equilibrium point are obtained by using the Poincare-Bendixson theorem and the uniqueness theorem of the limit cycle. |
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| Keywords: | Holling-IV functional response constant rate stocking equilibrium point limit cycle |
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