| 食饵具有阶段结构和自食的捕食系统的正周期解的存在性 |
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| 引用本文： | 于丽颖.食饵具有阶段结构和自食的捕食系统的正周期解的存在性[J].北华大学学报(自然科学版),2012,13(1):13-18. |
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| 作者姓名： | 于丽颖 |
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| 作者单位： | 北方工业学校数学教研室,辽宁盘锦,124021 |
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| 摘 要： | 利用重合度理论中的延拓定理和同伦映射，得到了一类食饵具有阶段结构和自食的捕食系统正周期解存在的充分条件，揭示了当成年食饵种群自食率和被捕获率均足够小时，系统将产生生物性周期振荡现象．
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| 关 键 词： | 捕食系统 比率型功能性反应 阶段结构 时滞 周期解 |
Existence of Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Prey |
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| YU Li-ying.Existence of Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Prey[J].Journal of Beihua University(Natural Science),2012,13(1):13-18. |
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| Authors: | YU Li-ying |
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| Institution: | YU Li-ying(Mathematics Staff Room of North Technical School,Panjin 124021,China) |
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| Abstract: | By means of the continuation theorem based on coincidence degree theory and homotopy mapping,the existence of positive periodic solution of a predator-prey system with stage-structured and cannibalism for prey is obtained.The phenomenon is revealed that when the cannibalism rate of adult prey species and the arrest rate of adult prey species are enough small,the system will bring periodic oscillation of biological nature. |
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| Keywords: | predator-prey system ratio-dependent functional response stage-structured time delay periodic solution |
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