| 具有阶段结构的Beddington-DeAngelis功能性反应的捕食者-食饵系统的动力学行为 |
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| 引用本文： | 于新艳. 具有阶段结构的Beddington-DeAngelis功能性反应的捕食者-食饵系统的动力学行为[J]. 长春师范学院学报, 2012, 0(3): 13-16,9 |
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| 作者姓名： | 于新艳 |
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| 作者单位： | 长春大学光华学院数理教研部 |
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| 摘 要： | 本文研究一类食饵种群具有阶段结构的Beddington-DeAngelis功能性反应的捕食者-食饵系统的动力学行为。通过建立一定的条件,得到了保证该系统捕食者和食饵种群得以持久生存的充分条件和必要条件。此外,这一充分条件也保证了该系统正周期解的存在性。
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| 关 键 词： | 阶段结构 Beddington-DeAngelis功能性反应 持久性 非自治 正周期解 |
Dynamic Behavior of Predator-prey System with Stage-structure and Beddington-DeAngelis Functional Response |
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| YU Xin-yan. Dynamic Behavior of Predator-prey System with Stage-structure and Beddington-DeAngelis Functional Response[J]. Journal of Changchun Teachers College, 2012, 0(3): 13-16,9 |
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| Authors: | YU Xin-yan |
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| Affiliation: | YU Xin-yan (Mathematical Teaching and Research Department of Guanghua College of Changchun University,Changchun 130117,China) |
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| Abstract: | In this paper,we study the dynamic behavior of a class of predator-prey system with stage-structure and Beddington-DeAngelis functional response.Under certain assumptions,sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.In addition,the sufficient conditions are derived for the existence of positive periodic solutions to the system. |
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| Keywords: | stage structure Beddington-DeAngelis functional response permanence non autonomous positive periodic solution |
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