淡水湖泊藻类模型分析

doi:10.12341/jssms11868

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (4): 496-505.DOI: 10.12341/jssms11868

淡水湖泊藻类模型分析

崔景安¹，赵秀梅²

1. 北京建筑工程学院理学院, 北京 100044; 2. 南京师范大学数学科学学院, 南京 210046

收稿日期:2011-01-10 出版日期:2012-04-25 发布日期:2012-07-06

PDF ( 908 ) 引用被引次数 ( 5 )

崔景安，赵秀梅. 淡水湖泊藻类模型分析[J]. 系统科学与数学, 2012, 32(4): 496-505.

CUI Jingan, ZHAO Xiumei. ANALYSIS OF AN ALAGE MODEL IN FRESHWATER LAKE[J]. Journal of Systems Science and Mathematical Sciences, 2012, 32(4): 496-505.

ANALYSIS OF AN ALAGE MODEL IN FRESHWATER LAKE

CUI Jingan¹, ZHAO Xiumei²

1. School of Science,Beijing University of Civil Engineering & Architecture, Beijing 100044; 2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046

Received:2011-01-10 Online:2012-04-25 Published:2012-07-06

利用非经典生物操纵法建立了鱼直接捕食藻类的模型. 气候变化导致的温室效应越来越突出, 鱼及藻类的生长对磷的消耗率等因素都与湖水温度有关, 模型中考虑了温度的影响. 分析了边界平衡点、正平衡点的存在性以及稳定性. 得到了藻类和鱼灭绝的阈值, 讨论了生态学意义.

关键词： 非经典生物操纵法, 藻类, 鱼, 温度.

In this paper, we establish a model where fish feeded on algae on the base of the non-traditional biomanipulation method. We consider the effect of lake temperature in the model because greenhouse effect has become increasingly prominent due to the climate change,and the growth of fish and algae are all related to temperature of lake water. We analyze the existence and stability of the equilibrium. The threshold for algae and fish extinction are obtained espectively, the implication of these results are discussed.

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