| 引用本文： |
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唐贵坚,唐清干.一类具有Allee效应和避难所的食饵与捕食模型的定性性质[J].广西科学,2012,19(1):44-45,49. [点击复制]
- TANG Gui-jian,TANG Qing-gan.Some Qualitative Properties of a Class of Predator-prey Model with Allee Effect and Refuges[J].Guangxi Sciences,2012,19(1):44-45,49. [点击复制]
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| 摘要: |
| 运用微分方程的基本理论,讨论一类具有Allee效应和避难所的食饵与捕食模型,证明解的有界性,分析系统奇点的存在性和稳定性,得到系统极限环存在和无环的充分条件. |
| 关键词: Allee效应 避难所 全局渐近稳定 极限环 食饵与捕食模型 |
| DOI： |
| 投稿时间：2011-06-29修订日期：2011-09-26 |
| 基金项目:国家自然科学基金项目(No.10961011)资助。 |
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| Some Qualitative Properties of a Class of Predator-prey Model with Allee Effect and Refuges |
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TANG Gui-jian, TANG Qing-gan
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| (School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A predator-prey model with Allee effect and a constant prey refuge was considered in this paper.The positive boundedness of the solutions was proved by using differential basic theory while the existence and stability of the positive equilibriam point were analyze.Finally, some sufficient conditions for the existence and nonexistence limit cycles of the model were obtained. |
| Key words: Allee effect refuge global asymptotic stability limit cycle predator-prey model |
