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黄龙寺自然保护区大熊猫与华西箭竹两种群的数学模型
引用本文:程国忠,胡杰,等.黄龙寺自然保护区大熊猫与华西箭竹两种群的数学模型[J].西华师范大学学报(哲学社会科学版),2001,22(2):106-111.
作者姓名:程国忠  胡杰
作者单位:[1]四川师范学院数学系,四川南充637002 [2]四川师范学院珍稀动植物研究所,四川南充637002
基金项目:四川省教委青年科研基金资助项目 (川教计 1998- 16 2 )
摘    要: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。

关 键 词:大熊猫  华西箭竹  种群  数学模型  自然保护区  黄龙寺
文章编号:1001-8220(2001)01-0106-06
修稿时间:2001年2月15日

Mathematical Model on the Populations of Giant Pandas and Fargesia Nitida in Huanglong Temple Natural Reserve
CHENG Guo_zhong ,ZHANG Hong_de ,HU Jie ,LI Yan_hong ,WU Yi ,HU Jin_chu.Mathematical Model on the Populations of Giant Pandas and Fargesia Nitida in Huanglong Temple Natural Reserve[J].Journal of China West Normal University:Natural Science Edition,2001,22(2):106-111.
Authors:CHENG Guo_zhong  ZHANG Hong_de  HU Jie  LI Yan_hong  WU Yi  HU Jin_chu
Institution:CHENG Guo_zhong 1,ZHANG Hong_de 1,HU Jie 2,LI Yan_hong 2,WU Yi 2,HU Jin_chu 2
Abstract: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.
Keywords:giant pandas  fargesia nitida  population  mathematical model  
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