有限空间年龄结构种群模型的数值分析  

Numerical analysis of an age-structured population model with space-limited recruitment

作　　者：孙冠颖[1] 梁栋[1] 王文洽[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2006年第6期65-70,共6页Journal of Shandong University(Natural Science)

摘　　要：对一类有限空间年龄结构种群模型提出了一种数值方法.运用迎风格式和Euler向前差分格式进行求解.给出了格式的稳定性,得到了最大模误差估计,证明了数值解的非负性并给出了数值算例.A numerical method is studied for an age-structured population model with space-limited recruitment. An upwind scheme and forward-Euler difference method are considered for the approximation. The rate of convergence is demonstrated for the maximum norm, and the stability of the scheme is discussed. The results show that the numerical solutions are nonnegative. Numerical experiment is carried out.

关 键 词：年龄结构种群模型 迎风格式 Euler向前差分格式 稳定性 误差估计 

分 类 号：O241[理学—计算数学]