周期环境中年龄等级结构种群模型的数值方法  

Numerical method for a hierarchical age-structured population model with periodic vital rates

作　　者：窦艺萌 何泽荣[1] DOU Yi-meng;HE Ze-rong(Institute of Operational Research and Cybernetics,Hangzhou Dianzi University,Hangzhou 310018,China)

机构地区：[1]杭州电子科技大学运筹与控制研究所,浙江杭州310018

出　　处：《高校应用数学学报（A辑）》2022年第4期431-440,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11871185)。

摘　　要：考虑一类具有时间周期性参数和外界迁入的年龄等级结构种群模型,它是一种带有全局反馈边界条件的偏微分积分方程.对此模型提出了一种迎风差分格式的数值计算方法,证明其收敛性,并给出数值实验结果.This paper is concerned with a class of hierarchical age-structured population model with immigration and periodic mortality and fertility,which is an integro-partial differential equation with a globally-feedback boundary condition.An upwind difference scheme is proposed to approximate the solutions for the model,and the convergence of the algorithm is proved.Finally,some results of numerical experiments are presented.

关 键 词：等级结构 周期型参数 种群模型 数值方法 收敛性 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]