“森林-竹子-大熊猫”三位一体生态系统维持机制数学模型研究

Studies on the Mathematical Model of Maintenance Mechanism for “Forest⁃bamboo⁃panda” Trinity Ecologi

摘要: 建立了描述“森林⁃竹子⁃大熊猫”之间关系的微分方程数学模型.通过对带有时滞和阶段结构的变系数微分系统的分析,得到了系统持续生存的条件.从理论上验证了李俊清等提出的“森林､主食竹､大熊猫”三位一体系统的稳定性维持机制,并进一步分析制约系统稳定发展的因素,为大熊猫栖息地保护提出建议.

Abstract: A delay differential equation model on the relation between the forest, bamboo and giant pandas was es?tablished. The conditions for the permanence of the system were obtained by analyzing the variable coefficient differenti?al systems with time delay and stage structure. The characteristics of this paper are to verify the maintenance mecha?nism of the stability of the forest, the bamboo and the giant panda trinity system which was presented by Junqing Li et al. and to analysis the factors that restrict the stable development of the system, which provides theoretical basis for the giant panda habitat protection.