| 一类捕食食饵模型正解的性质 |
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| 引用本文： | 姜洪领,王利娟.一类捕食食饵模型正解的性质[J].宝鸡文理学院学报(自然科学版),2012,32(4):12-15,20. |
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| 作者姓名： | 姜洪领 王利娟 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡,721013;宝鸡文理学院数学系,陕西宝鸡,721013 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省自然科学基础研究计划资助项目，宝鸡文理学院重点资助项目 |
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| 摘 要： | 目的讨论一类具有Beddington—DeAngelis功能反应函数的交叉扩散捕食模型正解的性质。方法利用最大值原理，Harnack不等式，s—Young不等式和Poincarfi不等式研究该模型。结果给出了模型正解的上下界和非常数正解的不存在性。结论在适当条件下该模型不存在非常数正解。
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| 关 键 词： | 捕食食饵 上下界 非常数正解 |
The property of the positive solution for a predator-prey model |
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| JIANG Hong-ling
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WANG Li-juan.The property of the positive solution for a predator-prey model[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2012,32(4):12-15,20. |
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| Authors: | JIANG Hong-ling WANG Li-juan |
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| Institution: | (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China) |
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| Abstract: | Aim To discuss the property of the positive solution prey model with Beddington-DeAngelis functional response. Methods for a cross-diffusion predator- The model is investigated by means Of maximum principle, Harnack inequality, ε-Young inequality and Poincare inequality. Results A priori estimate of the positive solution and the nonexistence of the non-constant positive solutions for the model are given. Conclusion Under the appropriate conditions, the model has no non-constant positive solution. |
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| Keywords: | predator-prey upper arid lower bounds non-constant positive solution |
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