| 捕食者与被捕食者问题的定性分析 |
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| 引用本文： | 刘翠桃.捕食者与被捕食者问题的定性分析[J].河南科学,2009,27(9):1044-1046. |
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| 作者姓名： | 刘翠桃 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476000 |
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| 基金项目： | 河南省高校科技创新人才支持计划 |
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| 摘 要： | 对于一类具有简化Holling Ⅳ类功能性反应的扑食与食饵模型做了较为详细的定性分析，得到了系统轨线的全局稳定性，极限环的存在性及系统无环的一些充分条件．部分地改进了文献2]的一些结果．
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| 关 键 词： | 捕食者与被捕食者 简化Honing Ⅳ类功能性反应 定性分析 |
Qualitative Analysis of the Problem of Predator-Prey |
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| Liu Cuitao.Qualitative Analysis of the Problem of Predator-Prey[J].Henan Science,2009,27(9):1044-1046. |
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| Authors: | Liu Cuitao |
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| Institution: | Shangqiu Vocational and Technical College;Shangqiu 476000;Henan China |
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| Abstract: | In this paper,we consider a predator-prey system with simplified Holling type-Ⅳ functional response. Through qualitative analysis of the model in detail,some sufficient conditions for the global stability of the trajectory,existenc and nonexistence of the limit cycle of the system are obtained. It should be pointed out that some results in2]are improved. |
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| Keywords: | predator-prey simplified Holling type-Ⅳ functional response qualitative analysis |
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