| 一类稀疏效应下具功能反应的捕食系统的定性分析 |
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| 引用本文： | 方成鸿,周永正,丰建文. 一类稀疏效应下具功能反应的捕食系统的定性分析[J]. 数学的实践与认识, 2009, 39(2) |
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| 作者姓名： | 方成鸿 周永正 丰建文 |
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| 作者单位： | 景德镇陶瓷学院,信息工程学院,江西,景德镇,333403 |
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| 摘 要： | 对稀疏效应下具有Holling Ⅲ类功能反应的一类捕食系统进行了定性分析,讨论了正平衡点的存在性和稳定性,并通过分析参数的取值范围得到了极限环、分界线环的存在条件与相关稳定性的结论.
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| 关 键 词： | 捕食系统 稀疏效应 功能反应 正平衡点 极限环 分界线环 稳定性 |
A Qualitative Analysis of a class of Predator-prey System with Functional Response and Sparse Effect |
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| FANG Cheng-hong,ZHOU Yong-zheng,FENG Jian-wen. A Qualitative Analysis of a class of Predator-prey System with Functional Response and Sparse Effect[J]. Mathematics in Practice and Theory, 2009, 39(2) |
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| Authors: | FANG Cheng-hong ZHOU Yong-zheng FENG Jian-wen |
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| Abstract: | A class of predator-prey model with Holling type III functional response and sparse effect was considered.The existence and the stability of the positive equilibrium point of the system were discussed.Conditions of the existence and the stability of limit cycles and boundary cycle were got by analyzing range of parameters of the system. |
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| Keywords: | predator-prey model Sparse Effect type III functional response positive equilibrium point limit cycle boundary cycle stability |
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