天然红松林时滞生态系统动态分析  

Dynamic Behavior of a Kind of Ecological System with Delay for Natural Pine Forests

作　　者：王文龙[1] 马剑[1] 高春雨[1] 张春蕊[1] 

机构地区：[1]东北林业大学,哈尔滨150040

出　　处：《东北林业大学学报》2010年第2期103-104,共2页Journal of Northeast Forestry University

基　　金：东北林业大学研究生论文资助项目(gram09)

摘　　要：利用种群生态学的系统分析理论,通过讨论此生态系统中的主要因素(松籽、鼠类和松树幼苗)之间的动态变化对整个生态系统性态变化的影响,研究红松林生态系统的动力学行为。在更复杂的时滞因素的影响下,讨论系统达到动态平衡的条件、平衡态的稳定性,以及其平衡点、周期解性状的变化,即Hopf分支现象的出现。A study was conducted to discuss the effects of the dynamic changes of main factors including pine nut,rodents,and saplings on the dynamic behavior of the ecological system with delay for natural pine forests using population ecology theory.The conditions for dynamic equilibrium of the system,stability of steady state,and the changes in equilibrium and periodic solution,namely the conditions for the appearance of Hopf bifurcation,were discussed under a more complicated condition with delay.

关 键 词：生态系统 时滞 HOPF分支 周期解 

分 类 号：O175.14[理学—数学]