一种生灭系统的稳定性分析

Stability Analysis of a Kind of Birth-and-death System

设计了一种描述饲养场牲畜头数或自然栖息地野生动物头数的动态特征的生灭系统并详细分析了系统的稳定性，还得到了在临界稳定平衡中的极限状态解．

A kind of birth-and-death system describing the dynamic characteristics of the population ofanimals on a farm or in a natural habitat is designed, and the stability of the system is analysed indetail. The limit solution to the state equation in critically stable equilibrium is obtained as well.