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两类食植系统的对比分析
  • 期刊名称:东北师大学报, 2007, 39(4): 4-9
  • 时间:0
  • 分类:O175.14[理学—数学;理学—基础数学]
  • 作者机构:[1]东北师范大学数学与统计学院,吉林长春130024, [2]哈尔滨金融高等专科学校基础部,黑龙江哈尔滨150030
  • 相关基金: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).
  • 相关项目:时标动力学方程若干问题的研究
中文摘要:

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.

英文摘要:

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.

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