| 带有饱和与竞争项的捕食模型 |
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| 引用本文： | 邵翠.带有饱和与竞争项的捕食模型[J].安徽工业大学学报,2012(3):265-270. |
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| 作者姓名： | 邵翠 |
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| 作者单位： | 安徽工业大学工商学院 |
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| 摘 要： | 具体的捕食模型中响应函数是一关键因素。考虑一类齐次Neumann边界条件下带有饱和与竞争项的捕食模型,对其反应扩散方程组及对应的平衡态问题,利用比较原理研究解的耗散性,持久性,借助于最大值原理给出正解的先验估计,得出随着参数的变化非常数正平衡解的不存在性。
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| 关 键 词： | 饱和与竞争项 捕食模型 耗散性 持久性 先验估计 非常数正平衡解 |
Predator-prey Model with Saturation and Competition |
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| SHAO Cui.Predator-prey Model with Saturation and Competition[J].Journal of Anhui University of Technology,2012(3):265-270. |
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| Authors: | SHAO Cui |
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| Affiliation: | SHAO Cui(Industrial & Commercial College,Anhui University of Technology,Ma’anshan 243002,China) |
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| Abstract: | In the specific predator-prey model,the response function is a key factor.A predator-prey model with saturation and competition under homogeneous Neumann boundary is considered.By means of the comparision principle,the behavior of the solutions including dissipativeness,constancy are studied.A priori-estimates of positive steady states is given by maximum principle.As some parameters varied,the nonexistence of the nonconstant positive steady solution is proved. |
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| Keywords: | saturation and competition predator-prey model dissipativeness constancy priori estimates non-constant positive solutions |
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