基于Gompertz规律的林场产量及效益模型

The Model of Yield and Efficiency of Tree Farm based on the Gompertz Law

运用微分方程稳定性理论,建立了在砍伐情况下林场树木量遵从的方程,分析了树木量稳定的条件,并且在稳定的前提下讨论如何控制砍伐使持续产量和经济效益达到最大.最后研究了砍伐过度的问题.

By using the stability theory of differential equations, we established the equation of the number of trees in the ease of felling, and analyzed the stable conditions for the number of trees. We also discussed how to control the felling to get the maximum sustainable yield and the maximum economic benefits in stability. Finally, we studied the problem of excessive felling.