一类按年龄阶段分组的种群动态模型的研究

THE STUDY OF A KIND OF POPULATION DYNAMIC MODEL GROUPED BY AGE-STAGES

本文对一类按年龄阶段分组的种群动态模型进行了探讨。得到了种群射影矩阵为素矩阵的充分必要条件,它也是种群存在渐近稳定年龄阶段结构的充分条件,提出了和种群动态有密切关系的个体在各阶段的平均逗留时间和种群净生殖率的概念;讨论了模型的有关渐近性质,给出了应用实例。

This papar makes a theoretical research for a kind of dynamic model of population with obvious i-dentifiable age-stages. The concept of Net Fertility and Average Stop Time is suggested and the asymptotic behaviour relevant Jo the model is discussed. Finally, a practical example is given.