| 一类斑块环境中的捕食-食饵模型动力学分析 |
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| 引用本文： | 孟超,周玉元,王闯华.一类斑块环境中的捕食-食饵模型动力学分析[J].唐山学院学报,2013,26(3):17-18,28. |
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| 作者姓名： | 孟超 周玉元 王闯华 |
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| 作者单位： | 湖南农业大学理学院,长沙,410128 |
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| 摘 要： | 给出了一类斑块环境下具HollinglI型功能反应函数的捕食一食饵模型，通过分析系统雅可比矩阵特征值，得到了系统局部稳定的一个充分条件，并运用Dulac判据，得出其正平衡点全局稳定性的一个充分条件。
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| 关 键 词： | 斑块环境 平衡点 局部稳定 极限环 全局稳定 |
The Dynamic Analysis of a Predator-prey Model in Patch Environment |
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| MENG Chao
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ZHOU Yu-yuan
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WANG Chuang-hua.The Dynamic Analysis of a Predator-prey Model in Patch Environment[J].Journal of Tangshan College,2013,26(3):17-18,28. |
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| Authors: | MENG Chao ZHOU Yu-yuan WANG Chuang-hua |
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| Institution: | (College of Sciences, Hunan Agricultural University, Changsha 410128, China) |
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| Abstract: | A predator-prey model with per. By analyzing eigenvalue about the local stability of model are established. cient conditions for the global stability HollingII in patch environment is investigated in this pa- Jacobian matrix of the model, sufficient conditions for the Then, with the help of the Dulac Judge Theorem, suffi- of the predator-prey model are established. |
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| Keywords: | patch environment equilibrium point local stability limit cycle global stability |
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