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一类松籽、鼠类、幼树的动态数学模型讨论及模拟

Liu Yangyang,Song Guohua,Wang Xiaojing,Ma Lin

Journal of Beijing University of Civil Engineering and Architecture（2013）

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Abstract
一类刻画红松林中松籽、鼠类、幼树的动态数学模型为:dxdt=x(1+a1x-b1y)dydt=a2x-ydzdt=x+a3x2+b2y-z利用系统分析的方法,研究该系统的动力学行为.讨论影响天然红松林生态系统变化的主要因素:松籽、鼠类和幼树的动态关系的变化性态,从而得到该系统达到动态平衡的条件.通过对该模型的分析,为定量描述红松林的生态系统特性和经营管理工作,提供一定的理论依据.
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Key words
equilibrium point,population of Korean pines,ecosystem,stability
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