| 一个比率依赖的Holling-Tanner捕食者-食饵模型的Hopf分支分析 |
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| 引用本文： | 王小利,王稳地,张国洪.一个比率依赖的Holling-Tanner捕食者-食饵模型的Hopf分支分析[J].西南农业大学学报,2011,33(3). |
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| 作者姓名： | 王小利 王稳地 张国洪 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871162) |
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| 摘 要： | 分析了一个比率依赖的Holling-Tanner捕食者-食饵模型的全局性性态,证明了超临界Hopf分支的存在性.
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| 关 键 词： | 捕食者-食饵模型 Holling-Tanner模型 比率依赖 Hopf分支 |
Hopf Bifurcation Analysis of a Ratio-Dependent Holling-Tanner Predator-Prey Model |
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| WANG Xiao-li,WANG Wen-di,ZHANG Guo-hong School of Mathematics , Statistics,Southwest University,Chongqing ,Chin.Hopf Bifurcation Analysis of a Ratio-Dependent Holling-Tanner Predator-Prey Model[J].Journal of Southwest Agricultural University,2011,33(3). |
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| Authors: | WANG Xiao-li WANG Wen-di ZHANG Guo-hong School of Mathematics Statistics Southwest University Chongqing Chin |
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| Institution: | WANG Xiao-li,WANG Wen-di,ZHANG Guo-hong School of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin |
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| Abstract: | In this paper,a complement to the study of a ratio-dependent Holling-Tanner model is given.By mathematical analysis,it is shown that the model undergoes a supercritical Hopf bifurcation. |
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| Keywords: | predator-prey model Holling-Tanner model ratio-dependent Hopf bifurcation |
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