| 具有简化Holling-IV类功能性反应且包含食饵避难所的捕食-食饵模型的定性分析 |
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| 引用本文： | 纪丽丽,吴承强.具有简化Holling-IV类功能性反应且包含食饵避难所的捕食-食饵模型的定性分析[J].福州大学学报(自然科学版),2010,38(2). |
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| 作者姓名： | 纪丽丽 吴承强 |
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| 作者单位： | 福州大学数学与计算机科学学院; |
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| 基金项目： | 福建省自然科学基金资助项目(2006J0209);;福州大学科技发展基金资助项目(2005-XQ-20) |
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| 摘 要： | 研究了一类具有简化Holling-IV类功能性反应且包含食饵避难所的捕食-食饵模型.分析了该系统的平衡点性态,通过对正平衡点焦点量的计算,得到正平衡点外围至少可以存在2个极限环,并得到在食饵避难所作用下的Hopf分支和异宿轨分支.此外还分析了食饵避难所对系统的影响.
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| 关 键 词： | Holling-IV类功能性反应函数 食饵避难所 捕食-食饵模型 极限环 |
The qualitative analysis of a predator-prey model with simplified Holling-type IV response function incorporating a prey refuge |
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| JI Li-li,WU Cheng-qiang.The qualitative analysis of a predator-prey model with simplified Holling-type IV response function incorporating a prey refuge[J].Journal of Fuzhou University(Natural Science Edition),2010,38(2). |
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| Authors: | JI Li-li WU Cheng-qiang |
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| Institution: | College of Mathematics and Computer Science;Fuzhou University;Fuzhou;Fujian 350108;China |
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| Abstract: | We consider a predator-prey model with simplified Holling-type IV response function incorporating a prey refuge. Through qualitative analysis of the model,at least two limit cycles around the positive equilibrium point with the result of focus value,the Hopf bifurcation and Heteroclinic bifurcation under a prey refuge are obtained. We also show the influence of prey refuge. |
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| Keywords: | Holling-type IV response function prey refuge predator-prey model limit cycles |
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