一类非线性年龄等级结构种群模型的数值解法

数学物理学报 ›› 2020, Vol. 40 ›› Issue (2): 515-526.

一类非线性年龄等级结构种群模型的数值解法

何泽荣(),张智强,裘哲勇

^{杭州电子科技大学数学系杭州 310018}

收稿日期:2019-03-22 出版日期:2020-04-26 发布日期:2020-05-21
作者简介:何泽荣, E-mail:zrhe@hdu.edu.cn
基金资助:
国家自然科学基金(11871185);浙江省自然科学基金(LY18A010010)

Numerical Method of a Nonlinear Hierarchical Age-Structured Population Model

Zerong He(),Zhiqiang Zhang,Zheyong Qiu

^{Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018}

Received:2019-03-22 Online:2020-04-26 Published:2020-05-21
Supported by:
the NSFC(11871185);the Zhejiang Provincial NSFC(LY18A010010)

摘要/Abstract

摘要：

假设年轻个体在种群内部竞争中占优，建立一类非线性等级结构种群模型，它是具有全局耦合边界条件的偏微分-积分方程的初边值问题.提出该模型解的数值计算方法，证明算法的收敛性，并给出数值实验结果.

关键词: 年龄等级, 种群模型, 数值方法, 离散Gronwall不等式, 收敛性

Abstract:

Based upon the assumption that the young individuals are more competitive than the old ones within a species, a class of nonlinear hierarchical age-structured population model is established in a form of IBVP of integro-partial differential equations. We propose an algorithm for the solutions to the model, analyze its convergence, and make some numerical experiments.

Key words: Hierarchy of age, Population model, Numerical method, Discrete Gronwall's inequality, Convergence

中图分类号:

O211.4

何泽荣,张智强,裘哲勇. 一类非线性年龄等级结构种群模型的数值解法[J]. 数学物理学报, 2020, 40(2): 515-526.

Zerong He,Zhiqiang Zhang,Zheyong Qiu. Numerical Method of a Nonlinear Hierarchical Age-Structured Population Model[J]. Acta mathematica scientia,Series A, 2020, 40(2): 515-526.

图/表 2

参考文献 23

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