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两类食植系统的对比分析 被引量：3

The comparison and analysis on two types of herbivoreplant systems
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摘要 研究了带有Beddington-DeAngelis功能反应的食植系统和具有密度制约项的食植系统的全局动力学行为.以此为基础,考察了密度制约效应对系统动力学的影响,并从多角度对两个系统进行了对比.研究表明这两个系统具有极为相似的动力学行为. In this paper,qualitative analysis was given for two kinds of herbivore-plant model.One is herbivore-plant model with Beddington-DeAngelis functional response.The other is herbivore-plant model with density-mediated.The paper mainly discusses the existence of the positive equilibria and its stability.By using qualitative analysis,the bounded property of solution,the existence of limit cycle and the sufficient conditions for the existence of the positive equilibria are obtained.By contrasting two systems from many aspects,the conclusion that the two herbivore-plant systems are surprising similarity is established.
作者 姜福全 范思乡
机构地区 东北师范大学数学与统计学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2007年第4期4-9,共6页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671031) 教育部科学与技术重点项目(106062)
关键词 食植系统 Beddington-DeAngelis功能反应 密度制约 极限环 herbivore-plant system beddington-deangelis functional response density mediated limit cycle
分类号 O175.14 [理学—基础数学]
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参考文献14

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二级参考文献23

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共引文献69

同被引文献18

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东北师大学报（自然科学版）
2007年 第4期

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