| 基于比率且食饵有避难所的Leslie捕食食饵系统分析 |
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| 引用本文： | 伍慧玲.基于比率且食饵有避难所的Leslie捕食食饵系统分析[J].闽江学院学报,2012,33(2):4-8,21. |
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| 作者姓名： | 伍慧玲 |
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| 作者单位： | 福建农林大学金山学院,福建福州,350002 |
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| 基金项目： | 福建省自然科学基金资助项目 |
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| 摘 要： | 提出了一类基于比率，具有HollingⅢ功能性反应，且食饵有避难所的Leslie捕食食饵系统．通过构造恰当的Dulac函数，得到了保证该系统正平衡点全局渐近稳定的充分条件．其后，通过利用Bendixson环域定理，进一步证明了在一定条件下系统存在极限环．最后，用数值模拟验证了结果．
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| 关 键 词： | Leslie捕食食饵模型 极限环 全局渐近稳定 避难所 |
Analysis of a ratio-dependent Leslie predator-prey system with a prey refuge |
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| WU Hui-ling.Analysis of a ratio-dependent Leslie predator-prey system with a prey refuge[J].Journal of Minjiang University,2012,33(2):4-8,21. |
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| Authors: | WU Hui-ling |
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| Institution: | WU Hui-ling(College of Jinshan,Fujian Agriculture and Forestry University,Fuzhou,Fujian 350002,China) |
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| Abstract: | A ratio-dependent Leslie predator-prey system with Holling-Ⅲ functional response incorporating a prey refuge is considered in this paper.By constructing a suitable Dulac function,sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium.We also show the existence of limit cycles by using Bendixson theorem.Numeric simulations are carried out to illustrate the feasibility of the main results at last. |
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| Keywords: | Leslie predator-prey model limit circle global stability refuge |
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