大熊猫非线性动力学模型的研究  

Research of Nonlinear Dynamic Systems on Giant Panda

作　　者：宋国华[1] 程艳霞[2] 桂占吉[3] 

机构地区：[1]北京建筑工程学院理学院,北京100044 [2]北京林业大学理学院,北京100083 [3]海南师范大学数学学院,海口571158

出　　处：《北京建筑工程学院学报》2012年第4期1-4,共4页Journal of Beijing Institute of Civil Engineering and Architecture

摘　　要：根据"大熊猫、主食竹和林木"三位一体栖息地保护理念,建立了一个描述"大熊猫、主食竹和林木"的非线性动力学模型,并且考虑了森林砍伐的影响.能够证明这个动力学模型存在周期解.获得了一个森林采伐的阈值,当采伐强度超过给定的阈值之外时,即使仍然有残余的森林,大熊猫种群将最终趋于绝灭.当采伐强度在给定的阈值之内时,在大熊猫、主食竹和林木的生态系统中保持一种生态平衡,大熊猫、主食竹和林木三者持续生存.According to the trinity idea of habitat protected on ＂forest-bamboo-giant panda＂, a ＂forest - bamboo - giant panda＂ nonlinear dynamic model is established with due consideration for deforestation. The existence of periodic solutions of the dynamic model can be proved. A threshold value in deforestation is thus obtained. That is, when the intensity of deforestation is beyond a given threshold, the giant panda population will be almost extinct even though some forest still remains. When the intensity of deforestation is within a given threshold, an ecological balance among ＂Forest-bamboo-giant panda＂ will keep for them to continue to exist.

关 键 词：大熊猫 动力学模型 阈值 周期解 

分 类 号：S711[农业科学—林学] O175[理学—数学]