大熊猫生态系统动态模型稳定性及数值分析  

The Stability and Numerical Analysis of Ecological Model of the Giant Panda

作　　者：吴云华[1] 袁晓凤[2] 魏明彬[3] 

机构地区：[1]四川省石室中学校,成都610041 [2]中科院成都计算所数理中心,成都610041 [3]四川教育学院数学系,成都610041

出　　处：《生物数学学报》1998年第1期93-96,共4页Journal of Biomathematics

基　　金：四川省重点科技基金

摘　　要：本文主要建立大熊猫与两种竹子共生生态系统三种群的微分方程模型，得到Volterra系统，此生态系统是捕食与被捕食关系．分析了该系统在平衡状态处的稳定性，证明了其全局稳定性．最后，通过有关数据的调控确定大熊猫种群数量范围以及计算出该生态系统在平衡状态处受到标准扰动后的恢复时间．The ecological model of differential equations on three populations of the giant panda and two kinds of bamboo was set.It is the Lotka-Volterra model describing the relation between predators and preys.The qualitative property and stability of equilibrium points were analysed.The global stability of the system was obtained.The range of the number of the giant panda can be obtained by adjusting the control paramenters.The time needed to restore the balance of system disturbed was calculated.

关 键 词：生态系统模型 恢复时间 捕食者 食饵 大熊猫 

分 类 号：Q959.838[生物学—动物学]