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.
出处
《生物数学学报》
CSCD
1998年第1期93-96,共4页
Journal of Biomathematics
基金
四川省重点科技基金