| 带B-D反应项的捕食-食饵模型正解的一致持续性 |
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| 引用本文： | 郭改慧,李艳玲.带B-D反应项的捕食-食饵模型正解的一致持续性[J].工程数学学报,2009,26(5). |
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| 作者姓名： | 郭改慧 李艳玲 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金，国家自然科学基金数学天元青年基金 |
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| 摘 要： | 本文利用上下解方法和稳定性理论,讨论了一类带Beddington-DeAngelis反应项的捕食.食饵模型解的渐近行为,给出了正解一致持续的充分条件.同时,利用上下解方法证明了一个正的全局吸引子的存在性.文中的结果表明,在一定的条件下,相互作用的种群是可以持续生存的.
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| 关 键 词： | Beddington-DeAngelis反应项 稳定 一致持续 |
The Persistence of Positive Solutions for a Predator-prey Model with B-D Functional Response |
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| GUO Gai-hui,LI Yan-ling.The Persistence of Positive Solutions for a Predator-prey Model with B-D Functional Response[J].Chinese Journal of Engineering Mathematics,2009,26(5). |
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| Authors: | GUO Gai-hui LI Yan-ling |
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| Affiliation: | GUO Gai-hui,LI Yan-ling (College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062) |
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| Abstract: | The asymptotic behavior for a kind of predator-prey models with Beddington-DeAngelis (BD) functional response is discussed. The method of upper and lower solutions and the theory of stability are used. The persistence of time-dependent positive solutions to this system is derived. In addition,a positive global attractor is presented by the method of upper and lower solutions for a class of elliptic system. The result gives certain conditions which ensure the persistence of species. |
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| Keywords: | Beddington-DeAngelis functional response stability uniform persistence |
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