具有干扰作用的开放系统种群稳定年龄结构的研究

Study on Steady Age Structure of Population Within an Opening System with Disturbing Effect

本文提出一个新的矩阵模型，描述在一个具有大时空尺度和个体迁入迁出的开放系统中年龄结构种群（人口）的数量动态。该模型不要求年龄按相等的时间间隔分组，也不要求观察时间等于年龄组的长度，其应用更加方便。模型具有普遍适用性。另外给出了经过人工干扰使开放系统的种群（人口）达到合理的可持续结构的优化算法。按此算法，通过逐步调整种群（人口）各年龄组的比例，可使种群（人口）最终达到一稳定结构。

A new matrix model,describing the dynamics of the age structured population within an opening system with large temper spatial scales and the immigration and emigration of individuals,was proposed.It was not required that the age groups were divided in same length of time or that the observed time was equal to the length of age group in this model.Moreover,the optimizing algorithm for calculating the reasonable and maintainable structure that the population in an opening system can reach through artificial disturbance was also provided.According to the algorithm,the population can reach a steady structure finally by stepwise adjusting of the proportion of population in each age group.