黄龙寺自然保护区大熊猫与华西箭竹两种群的数学模型

Mathematical Model on the Populations of Giant Pandas and Fargesia Nitida in Huanglong Temple Natural Reserve

研究了野外大熊猫与竹子种群的数学模型 .通过野外实地调查 ,建立起能够反映竹子生长欠佳或大面积开花时 ,对大熊猫种群增长的影响的数学模型 .其生命系数通过调查统计确定 .经过挑选确定出竹子种群的密度制约系数为参变数 ,变动参数用Hopf分支理论 ,证明该系统存在稳定的极限环 ,并在计算机上实现 .

A mathematical model on the populations of field giant pandas and bamboos is studied. By a large amount of field investigation, we put forward a better mathematical model that we have considered the influences upon the growth of giant pandas population in the situation of bamboos' bloom in a large area, or bamboo growing states are not in a good state. In this model, the coefficient of life is decided through the investigation and statistics, and the density_dependent coefficient of bamboos population is selected as a variable parameter. By the Hopf bifurcation theory, we prove that there is a stable limit cycle in the system, and it can be obtained by computer.