| 一类带功能反应项的捕食者-食饵扩散模型的稳定性 |
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| 引用本文： | 石月莲.一类带功能反应项的捕食者-食饵扩散模型的稳定性[J].甘肃教育学院学报(自然科学版),2014(1):12-16. |
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| 作者姓名： | 石月莲 |
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| 作者单位： | 晋中学院数学学院,山西榆次030600 |
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| 摘 要： | 主要研究了食饵具有非线性密度制约带Holling II型功能反应项的捕食者一食饵扩散模型中的半平凡平衡点的稳定性．先对模型的平凡平衡点和半平凡平衡点进行了分析，冉应用线性化方法和Lyapunov方法证明了该模型半平凡平衡点的稳定性．
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| 关 键 词： | 捕食者食饵 稳定性 半平衡点 |
Stability of a Diffusive Predator Model with Functional Response |
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| SHI Yue-lian.Stability of a Diffusive Predator Model with Functional Response[J].Journal of Gansu Education College(Natural Science Edition),2014(1):12-16. |
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| Authors: | SHI Yue-lian |
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| Institution: | SHI Yue-lian (School of Mathematics of Jinzhong University, Yuci 030600, China) |
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| Abstract: | The prey and nonlinear density restriction with Holling II type functional response predator prey diffusion model of semi trivial equilibrium stability was studied. The model on the trivial equilibrium point and semi trivial trivial equilibrium point is proved by using the analyzed, and then the stability of the model of semi linearization method and Lyapunov method. |
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| Keywords: | predator-prey stability ban Pingfan equilibrium |
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